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Finding the Fourth Proportional to 6,031.70, 9,061.45 and 5,782.59

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Solution

The fourth proportional to 6,031.70, 9,061.45 and 5,782.59 is: 8,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.70 : 9,061.45 = 5,782.59 : x
  2. Step 2: Convert to fraction form
    6,031.70/9,061.45 = 5,782.59/x
  3. Step 3: Cross multiply
    6,031.70x = 9,061.45 × 5,782.59
  4. Step 4: Simplify right side
    6,031.70x = 52,398,650.16
  5. Step 5: Solve for x
    x = 52,398,650.16/6,031.70
  6. Step 6: Final answer
    x = 8,687.21

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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.