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Finding the Fourth Proportional to 9,708.72, 14,497.28 and 7,711.94

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Solution

The fourth proportional to 9,708.72, 14,497.28 and 7,711.94 is: 11,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.72 : 14,497.28 = 7,711.94 : x
  2. Step 2: Convert to fraction form
    9,708.72/14,497.28 = 7,711.94/x
  3. Step 3: Cross multiply
    9,708.72x = 14,497.28 × 7,711.94
  4. Step 4: Simplify right side
    9,708.72x = 111,802,042.48
  5. Step 5: Solve for x
    x = 111,802,042.48/9,708.72
  6. Step 6: Final answer
    x = 11,515.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.