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Finding the Fourth Proportional to 6,192.33, 9,282 and 2,031.27

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Solution

The fourth proportional to 6,192.33, 9,282 and 2,031.27 is: 3,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.33 : 9,282 = 2,031.27 : x
  2. Step 2: Convert to fraction form
    6,192.33/9,282 = 2,031.27/x
  3. Step 3: Cross multiply
    6,192.33x = 9,282 × 2,031.27
  4. Step 4: Simplify right side
    6,192.33x = 18,854,248.14
  5. Step 5: Solve for x
    x = 18,854,248.14/6,192.33
  6. Step 6: Final answer
    x = 3,044.77

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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.