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Finding the Fourth Proportional to 6,427.55, 9,614.68 and 6,033.89

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Solution

The fourth proportional to 6,427.55, 9,614.68 and 6,033.89 is: 9,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.55 : 9,614.68 = 6,033.89 : x
  2. Step 2: Convert to fraction form
    6,427.55/9,614.68 = 6,033.89/x
  3. Step 3: Cross multiply
    6,427.55x = 9,614.68 × 6,033.89
  4. Step 4: Simplify right side
    6,427.55x = 58,013,930.46
  5. Step 5: Solve for x
    x = 58,013,930.46/6,427.55
  6. Step 6: Final answer
    x = 9,025.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.