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Finding the Fourth Proportional to 9,863.90, 14,799.30 and 6,161.78

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Solution

The fourth proportional to 9,863.90, 14,799.30 and 6,161.78 is: 9,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.90 : 14,799.30 = 6,161.78 : x
  2. Step 2: Convert to fraction form
    9,863.90/14,799.30 = 6,161.78/x
  3. Step 3: Cross multiply
    9,863.90x = 14,799.30 × 6,161.78
  4. Step 4: Simplify right side
    9,863.90x = 91,190,030.75
  5. Step 5: Solve for x
    x = 91,190,030.75/9,863.90
  6. Step 6: Final answer
    x = 9,244.83

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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.