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Finding the Fourth Proportional to 6,317.24, 9,472.98 and 3,031.88

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Solution

The fourth proportional to 6,317.24, 9,472.98 and 3,031.88 is: 4,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.24 : 9,472.98 = 3,031.88 : x
  2. Step 2: Convert to fraction form
    6,317.24/9,472.98 = 3,031.88/x
  3. Step 3: Cross multiply
    6,317.24x = 9,472.98 × 3,031.88
  4. Step 4: Simplify right side
    6,317.24x = 28,720,938.60
  5. Step 5: Solve for x
    x = 28,720,938.60/6,317.24
  6. Step 6: Final answer
    x = 4,546.44

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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.