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Finding the Fourth Proportional to 6,254.88, 9,381.42 and 2,358.78

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Solution

The fourth proportional to 6,254.88, 9,381.42 and 2,358.78 is: 3,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.88 : 9,381.42 = 2,358.78 : x
  2. Step 2: Convert to fraction form
    6,254.88/9,381.42 = 2,358.78/x
  3. Step 3: Cross multiply
    6,254.88x = 9,381.42 × 2,358.78
  4. Step 4: Simplify right side
    6,254.88x = 22,128,705.87
  5. Step 5: Solve for x
    x = 22,128,705.87/6,254.88
  6. Step 6: Final answer
    x = 3,537.83

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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.