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Finding the Fourth Proportional to 9,291.57, 13,930.87 and 3,446.61

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Solution

The fourth proportional to 9,291.57, 13,930.87 and 3,446.61 is: 5,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.57 : 13,930.87 = 3,446.61 : x
  2. Step 2: Convert to fraction form
    9,291.57/13,930.87 = 3,446.61/x
  3. Step 3: Cross multiply
    9,291.57x = 13,930.87 × 3,446.61
  4. Step 4: Simplify right side
    9,291.57x = 48,014,275.85
  5. Step 5: Solve for x
    x = 48,014,275.85/9,291.57
  6. Step 6: Final answer
    x = 5,167.51

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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.