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Finding the Fourth Proportional to 7,049.92, 9,729.92 and 4,066.24

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Solution

The fourth proportional to 7,049.92, 9,729.92 and 4,066.24 is: 5,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.92 : 9,729.92 = 4,066.24 : x
  2. Step 2: Convert to fraction form
    7,049.92/9,729.92 = 4,066.24/x
  3. Step 3: Cross multiply
    7,049.92x = 9,729.92 × 4,066.24
  4. Step 4: Simplify right side
    7,049.92x = 39,564,189.90
  5. Step 5: Solve for x
    x = 39,564,189.90/7,049.92
  6. Step 6: Final answer
    x = 5,612.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.