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Finding the Fourth Proportional to 9,993,675.74, 14,967,810.57 and 7,821,165.02

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Solution

The fourth proportional to 9,993,675.74, 14,967,810.57 and 7,821,165.02 is: 11,713,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993,675.74 : 14,967,810.57 = 7,821,165.02 : x
  2. Step 2: Convert to fraction form
    9,993,675.74/14,967,810.57 = 7,821,165.02/x
  3. Step 3: Cross multiply
    9,993,675.74x = 14,967,810.57 × 7,821,165.02
  4. Step 4: Simplify right side
    9,993,675.74x = 117,065,716,456,070.25
  5. Step 5: Solve for x
    x = 117,065,716,456,070.25/9,993,675.74
  6. Step 6: Final answer
    x = 11,713,979.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.