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Finding the Fourth Proportional to 9,764,991.74, 14,618,754.32 and 6,518,477.13

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Solution

The fourth proportional to 9,764,991.74, 14,618,754.32 and 6,518,477.13 is: 9,758,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,991.74 : 14,618,754.32 = 6,518,477.13 : x
  2. Step 2: Convert to fraction form
    9,764,991.74/14,618,754.32 = 6,518,477.13/x
  3. Step 3: Cross multiply
    9,764,991.74x = 14,618,754.32 × 6,518,477.13
  4. Step 4: Simplify right side
    9,764,991.74x = 95,292,015,671,416.31
  5. Step 5: Solve for x
    x = 95,292,015,671,416.31/9,764,991.74
  6. Step 6: Final answer
    x = 9,758,535.21

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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.