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Finding the Fourth Proportional to 9,732.66, 13,430.79 and 5,753.76

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Solution

The fourth proportional to 9,732.66, 13,430.79 and 5,753.76 is: 7,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.66 : 13,430.79 = 5,753.76 : x
  2. Step 2: Convert to fraction form
    9,732.66/13,430.79 = 5,753.76/x
  3. Step 3: Cross multiply
    9,732.66x = 13,430.79 × 5,753.76
  4. Step 4: Simplify right side
    9,732.66x = 77,277,542.27
  5. Step 5: Solve for x
    x = 77,277,542.27/9,732.66
  6. Step 6: Final answer
    x = 7,940.02

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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.