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Finding the Fourth Proportional to 9,165.45, 13,729.04 and 5,861.77

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Solution

The fourth proportional to 9,165.45, 13,729.04 and 5,861.77 is: 8,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.45 : 13,729.04 = 5,861.77 : x
  2. Step 2: Convert to fraction form
    9,165.45/13,729.04 = 5,861.77/x
  3. Step 3: Cross multiply
    9,165.45x = 13,729.04 × 5,861.77
  4. Step 4: Simplify right side
    9,165.45x = 80,476,466.12
  5. Step 5: Solve for x
    x = 80,476,466.12/9,165.45
  6. Step 6: Final answer
    x = 8,780.41

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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.