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Finding the Fourth Proportional to 9,021, 12,448.98 and 5,882.52

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Solution

The fourth proportional to 9,021, 12,448.98 and 5,882.52 is: 8,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021 : 12,448.98 = 5,882.52 : x
  2. Step 2: Convert to fraction form
    9,021/12,448.98 = 5,882.52/x
  3. Step 3: Cross multiply
    9,021x = 12,448.98 × 5,882.52
  4. Step 4: Simplify right side
    9,021x = 73,231,373.83
  5. Step 5: Solve for x
    x = 73,231,373.83/9,021
  6. Step 6: Final answer
    x = 8,117.88

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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.