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Finding the Fourth Proportional to 6,031.80, 9,049.05 and 2,136.17

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Solution

The fourth proportional to 6,031.80, 9,049.05 and 2,136.17 is: 3,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.80 : 9,049.05 = 2,136.17 : x
  2. Step 2: Convert to fraction form
    6,031.80/9,049.05 = 2,136.17/x
  3. Step 3: Cross multiply
    6,031.80x = 9,049.05 × 2,136.17
  4. Step 4: Simplify right side
    6,031.80x = 19,330,331.76
  5. Step 5: Solve for x
    x = 19,330,331.76/6,031.80
  6. Step 6: Final answer
    x = 3,204.74

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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.