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Finding the Fourth Proportional to 9,165.90, 13,770.85 and 5,885.40

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Solution

The fourth proportional to 9,165.90, 13,770.85 and 5,885.40 is: 8,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.90 : 13,770.85 = 5,885.40 : x
  2. Step 2: Convert to fraction form
    9,165.90/13,770.85 = 5,885.40/x
  3. Step 3: Cross multiply
    9,165.90x = 13,770.85 × 5,885.40
  4. Step 4: Simplify right side
    9,165.90x = 81,046,906.45
  5. Step 5: Solve for x
    x = 81,046,906.45/9,165.90
  6. Step 6: Final answer
    x = 8,842.23

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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.