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Finding the Fourth Proportional to 9,849.92, 13,573.32 and 9,727.28

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Solution

The fourth proportional to 9,849.92, 13,573.32 and 9,727.28 is: 13,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.92 : 13,573.32 = 9,727.28 : x
  2. Step 2: Convert to fraction form
    9,849.92/13,573.32 = 9,727.28/x
  3. Step 3: Cross multiply
    9,849.92x = 13,573.32 × 9,727.28
  4. Step 4: Simplify right side
    9,849.92x = 132,031,484.17
  5. Step 5: Solve for x
    x = 132,031,484.17/9,849.92
  6. Step 6: Final answer
    x = 13,404.32

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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.