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Finding the Fourth Proportional to 6,475.06, 9,709.91 and 2,031.24

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Solution

The fourth proportional to 6,475.06, 9,709.91 and 2,031.24 is: 3,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.06 : 9,709.91 = 2,031.24 : x
  2. Step 2: Convert to fraction form
    6,475.06/9,709.91 = 2,031.24/x
  3. Step 3: Cross multiply
    6,475.06x = 9,709.91 × 2,031.24
  4. Step 4: Simplify right side
    6,475.06x = 19,723,123.16
  5. Step 5: Solve for x
    x = 19,723,123.16/6,475.06
  6. Step 6: Final answer
    x = 3,046.02

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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.