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Finding the Fourth Proportional to 9,929.71, 14,894.57 and 5,003.49

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Solution

The fourth proportional to 9,929.71, 14,894.57 and 5,003.49 is: 7,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.71 : 14,894.57 = 5,003.49 : x
  2. Step 2: Convert to fraction form
    9,929.71/14,894.57 = 5,003.49/x
  3. Step 3: Cross multiply
    9,929.71x = 14,894.57 × 5,003.49
  4. Step 4: Simplify right side
    9,929.71x = 74,524,832.05
  5. Step 5: Solve for x
    x = 74,524,832.05/9,929.71
  6. Step 6: Final answer
    x = 7,505.24

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