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Finding the Fourth Proportional to 9,291.70, 13,937.55 and 3,447.15

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Solution

The fourth proportional to 9,291.70, 13,937.55 and 3,447.15 is: 5,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.70 : 13,937.55 = 3,447.15 : x
  2. Step 2: Convert to fraction form
    9,291.70/13,937.55 = 3,447.15/x
  3. Step 3: Cross multiply
    9,291.70x = 13,937.55 × 3,447.15
  4. Step 4: Simplify right side
    9,291.70x = 48,044,825.48
  5. Step 5: Solve for x
    x = 48,044,825.48/9,291.70
  6. Step 6: Final answer
    x = 5,170.73

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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.