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Finding the Fourth Proportional to 9,116.87, 13,700.95 and 5,419.76

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Solution

The fourth proportional to 9,116.87, 13,700.95 and 5,419.76 is: 8,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.87 : 13,700.95 = 5,419.76 : x
  2. Step 2: Convert to fraction form
    9,116.87/13,700.95 = 5,419.76/x
  3. Step 3: Cross multiply
    9,116.87x = 13,700.95 × 5,419.76
  4. Step 4: Simplify right side
    9,116.87x = 74,255,778.72
  5. Step 5: Solve for x
    x = 74,255,778.72/9,116.87
  6. Step 6: Final answer
    x = 8,144.88

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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.