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Finding the Fourth Proportional to 6,324.31, 9,488.49 and 3,037.65

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Solution

The fourth proportional to 6,324.31, 9,488.49 and 3,037.65 is: 4,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.31 : 9,488.49 = 3,037.65 : x
  2. Step 2: Convert to fraction form
    6,324.31/9,488.49 = 3,037.65/x
  3. Step 3: Cross multiply
    6,324.31x = 9,488.49 × 3,037.65
  4. Step 4: Simplify right side
    6,324.31x = 28,822,711.65
  5. Step 5: Solve for x
    x = 28,822,711.65/6,324.31
  6. Step 6: Final answer
    x = 4,557.45

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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.