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Finding the Fourth Proportional to 9,257.01, 13,884.84 and 3,708.78

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Solution

The fourth proportional to 9,257.01, 13,884.84 and 3,708.78 is: 5,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.01 : 13,884.84 = 3,708.78 : x
  2. Step 2: Convert to fraction form
    9,257.01/13,884.84 = 3,708.78/x
  3. Step 3: Cross multiply
    9,257.01x = 13,884.84 × 3,708.78
  4. Step 4: Simplify right side
    9,257.01x = 51,495,816.90
  5. Step 5: Solve for x
    x = 51,495,816.90/9,257.01
  6. Step 6: Final answer
    x = 5,562.90

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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.