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Finding the Fourth Proportional to 6,288.40, 9,429.90 and 3,167.20

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Solution

The fourth proportional to 6,288.40, 9,429.90 and 3,167.20 is: 4,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.40 : 9,429.90 = 3,167.20 : x
  2. Step 2: Convert to fraction form
    6,288.40/9,429.90 = 3,167.20/x
  3. Step 3: Cross multiply
    6,288.40x = 9,429.90 × 3,167.20
  4. Step 4: Simplify right side
    6,288.40x = 29,866,379.28
  5. Step 5: Solve for x
    x = 29,866,379.28/6,288.40
  6. Step 6: Final answer
    x = 4,749.44

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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.