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Finding the Fourth Proportional to 9,103.57, 12,562.07 and 6,714.85

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Solution

The fourth proportional to 9,103.57, 12,562.07 and 6,714.85 is: 9,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.57 : 12,562.07 = 6,714.85 : x
  2. Step 2: Convert to fraction form
    9,103.57/12,562.07 = 6,714.85/x
  3. Step 3: Cross multiply
    9,103.57x = 12,562.07 × 6,714.85
  4. Step 4: Simplify right side
    9,103.57x = 84,352,412.08
  5. Step 5: Solve for x
    x = 84,352,412.08/9,103.57
  6. Step 6: Final answer
    x = 9,265.86

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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.