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Finding the Fourth Proportional to 6,124.31, 9,176.90 and 3,488.57

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Solution

The fourth proportional to 6,124.31, 9,176.90 and 3,488.57 is: 5,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.31 : 9,176.90 = 3,488.57 : x
  2. Step 2: Convert to fraction form
    6,124.31/9,176.90 = 3,488.57/x
  3. Step 3: Cross multiply
    6,124.31x = 9,176.90 × 3,488.57
  4. Step 4: Simplify right side
    6,124.31x = 32,014,229.12
  5. Step 5: Solve for x
    x = 32,014,229.12/6,124.31
  6. Step 6: Final answer
    x = 5,227.40

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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.