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Finding the Fourth Proportional to 9,257.59, 13,882.65 and 3,412.90

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Solution

The fourth proportional to 9,257.59, 13,882.65 and 3,412.90 is: 5,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.59 : 13,882.65 = 3,412.90 : x
  2. Step 2: Convert to fraction form
    9,257.59/13,882.65 = 3,412.90/x
  3. Step 3: Cross multiply
    9,257.59x = 13,882.65 × 3,412.90
  4. Step 4: Simplify right side
    9,257.59x = 47,380,096.19
  5. Step 5: Solve for x
    x = 47,380,096.19/9,257.59
  6. Step 6: Final answer
    x = 5,117.97

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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.