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Finding the Fourth Proportional to 9,858.52, 14,821.98 and 7,924.36

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Solution

The fourth proportional to 9,858.52, 14,821.98 and 7,924.36 is: 11,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.52 : 14,821.98 = 7,924.36 : x
  2. Step 2: Convert to fraction form
    9,858.52/14,821.98 = 7,924.36/x
  3. Step 3: Cross multiply
    9,858.52x = 14,821.98 × 7,924.36
  4. Step 4: Simplify right side
    9,858.52x = 117,454,705.43
  5. Step 5: Solve for x
    x = 117,454,705.43/9,858.52
  6. Step 6: Final answer
    x = 11,914.03

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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.