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Finding the Fourth Proportional to 6,287.96, 9,434.54 and 3,166.29

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Solution

The fourth proportional to 6,287.96, 9,434.54 and 3,166.29 is: 4,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.96 : 9,434.54 = 3,166.29 : x
  2. Step 2: Convert to fraction form
    6,287.96/9,434.54 = 3,166.29/x
  3. Step 3: Cross multiply
    6,287.96x = 9,434.54 × 3,166.29
  4. Step 4: Simplify right side
    6,287.96x = 29,872,497.57
  5. Step 5: Solve for x
    x = 29,872,497.57/6,287.96
  6. Step 6: Final answer
    x = 4,750.74

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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.