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Finding the Fourth Proportional to 9,227.27, 12,727.95 and 6,575.54

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Solution

The fourth proportional to 9,227.27, 12,727.95 and 6,575.54 is: 9,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.27 : 12,727.95 = 6,575.54 : x
  2. Step 2: Convert to fraction form
    9,227.27/12,727.95 = 6,575.54/x
  3. Step 3: Cross multiply
    9,227.27x = 12,727.95 × 6,575.54
  4. Step 4: Simplify right side
    9,227.27x = 83,693,144.34
  5. Step 5: Solve for x
    x = 83,693,144.34/9,227.27
  6. Step 6: Final answer
    x = 9,070.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.