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Finding the Fourth Proportional to 9,708.62, 14,562.96 and 6,421.04

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Solution

The fourth proportional to 9,708.62, 14,562.96 and 6,421.04 is: 9,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.62 : 14,562.96 = 6,421.04 : x
  2. Step 2: Convert to fraction form
    9,708.62/14,562.96 = 6,421.04/x
  3. Step 3: Cross multiply
    9,708.62x = 14,562.96 × 6,421.04
  4. Step 4: Simplify right side
    9,708.62x = 93,509,348.68
  5. Step 5: Solve for x
    x = 93,509,348.68/9,708.62
  6. Step 6: Final answer
    x = 9,631.58

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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.