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Finding the Fourth Proportional to 9,116.74, 13,700.76 and 5,419.63

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Solution

The fourth proportional to 9,116.74, 13,700.76 and 5,419.63 is: 8,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.74 : 13,700.76 = 5,419.63 : x
  2. Step 2: Convert to fraction form
    9,116.74/13,700.76 = 5,419.63/x
  3. Step 3: Cross multiply
    9,116.74x = 13,700.76 × 5,419.63
  4. Step 4: Simplify right side
    9,116.74x = 74,253,049.92
  5. Step 5: Solve for x
    x = 74,253,049.92/9,116.74
  6. Step 6: Final answer
    x = 8,144.69

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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.