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Finding the Fourth Proportional to 6,177.17, 9,254.91 and 5,143.82

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Solution

The fourth proportional to 6,177.17, 9,254.91 and 5,143.82 is: 7,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.17 : 9,254.91 = 5,143.82 : x
  2. Step 2: Convert to fraction form
    6,177.17/9,254.91 = 5,143.82/x
  3. Step 3: Cross multiply
    6,177.17x = 9,254.91 × 5,143.82
  4. Step 4: Simplify right side
    6,177.17x = 47,605,591.16
  5. Step 5: Solve for x
    x = 47,605,591.16/6,177.17
  6. Step 6: Final answer
    x = 7,706.70

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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.