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Finding the Fourth Proportional to 9,760.11, 13,470.26 and 5,727.92

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Solution

The fourth proportional to 9,760.11, 13,470.26 and 5,727.92 is: 7,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.11 : 13,470.26 = 5,727.92 : x
  2. Step 2: Convert to fraction form
    9,760.11/13,470.26 = 5,727.92/x
  3. Step 3: Cross multiply
    9,760.11x = 13,470.26 × 5,727.92
  4. Step 4: Simplify right side
    9,760.11x = 77,156,475.67
  5. Step 5: Solve for x
    x = 77,156,475.67/9,760.11
  6. Step 6: Final answer
    x = 7,905.29

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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.