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Finding the Fourth Proportional to 6,113.17, 9,179.70 and 5,658.40

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Solution

The fourth proportional to 6,113.17, 9,179.70 and 5,658.40 is: 8,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.17 : 9,179.70 = 5,658.40 : x
  2. Step 2: Convert to fraction form
    6,113.17/9,179.70 = 5,658.40/x
  3. Step 3: Cross multiply
    6,113.17x = 9,179.70 × 5,658.40
  4. Step 4: Simplify right side
    6,113.17x = 51,942,414.48
  5. Step 5: Solve for x
    x = 51,942,414.48/6,113.17
  6. Step 6: Final answer
    x = 8,496.81

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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.