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Finding the Fourth Proportional to 9,715.53, 14,562.36 and 3,865.31

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Solution

The fourth proportional to 9,715.53, 14,562.36 and 3,865.31 is: 5,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.53 : 14,562.36 = 3,865.31 : x
  2. Step 2: Convert to fraction form
    9,715.53/14,562.36 = 3,865.31/x
  3. Step 3: Cross multiply
    9,715.53x = 14,562.36 × 3,865.31
  4. Step 4: Simplify right side
    9,715.53x = 56,287,962.92
  5. Step 5: Solve for x
    x = 56,287,962.92/9,715.53
  6. Step 6: Final answer
    x = 5,793.61

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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.