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Finding the Fourth Proportional to 9,901.76, 14,851.68 and 7,141.44

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Solution

The fourth proportional to 9,901.76, 14,851.68 and 7,141.44 is: 10,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.76 : 14,851.68 = 7,141.44 : x
  2. Step 2: Convert to fraction form
    9,901.76/14,851.68 = 7,141.44/x
  3. Step 3: Cross multiply
    9,901.76x = 14,851.68 × 7,141.44
  4. Step 4: Simplify right side
    9,901.76x = 106,062,381.62
  5. Step 5: Solve for x
    x = 106,062,381.62/9,901.76
  6. Step 6: Final answer
    x = 10,711.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.