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Finding the Fourth Proportional to 9,531.15, 14,281.13 and 9,166.65

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Solution

The fourth proportional to 9,531.15, 14,281.13 and 9,166.65 is: 13,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.15 : 14,281.13 = 9,166.65 : x
  2. Step 2: Convert to fraction form
    9,531.15/14,281.13 = 9,166.65/x
  3. Step 3: Cross multiply
    9,531.15x = 14,281.13 × 9,166.65
  4. Step 4: Simplify right side
    9,531.15x = 130,910,074.48
  5. Step 5: Solve for x
    x = 130,910,074.48/9,531.15
  6. Step 6: Final answer
    x = 13,734.97

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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.