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Finding the Fourth Proportional to 9,235.28, 12,748.88 and 5,882.69

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Solution

The fourth proportional to 9,235.28, 12,748.88 and 5,882.69 is: 8,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.28 : 12,748.88 = 5,882.69 : x
  2. Step 2: Convert to fraction form
    9,235.28/12,748.88 = 5,882.69/x
  3. Step 3: Cross multiply
    9,235.28x = 12,748.88 × 5,882.69
  4. Step 4: Simplify right side
    9,235.28x = 74,997,669.66
  5. Step 5: Solve for x
    x = 74,997,669.66/9,235.28
  6. Step 6: Final answer
    x = 8,120.78

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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.