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Finding the Fourth Proportional to 9,291.54, 13,937.31 and 3,446.58

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Solution

The fourth proportional to 9,291.54, 13,937.31 and 3,446.58 is: 5,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.54 : 13,937.31 = 3,446.58 : x
  2. Step 2: Convert to fraction form
    9,291.54/13,937.31 = 3,446.58/x
  3. Step 3: Cross multiply
    9,291.54x = 13,937.31 × 3,446.58
  4. Step 4: Simplify right side
    9,291.54x = 48,036,053.90
  5. Step 5: Solve for x
    x = 48,036,053.90/9,291.54
  6. Step 6: Final answer
    x = 5,169.87

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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.