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Finding the Fourth Proportional to 9,165.29, 13,748.58 and 4,489.20

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Solution

The fourth proportional to 9,165.29, 13,748.58 and 4,489.20 is: 6,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.29 : 13,748.58 = 4,489.20 : x
  2. Step 2: Convert to fraction form
    9,165.29/13,748.58 = 4,489.20/x
  3. Step 3: Cross multiply
    9,165.29x = 13,748.58 × 4,489.20
  4. Step 4: Simplify right side
    9,165.29x = 61,720,125.34
  5. Step 5: Solve for x
    x = 61,720,125.34/9,165.29
  6. Step 6: Final answer
    x = 6,734.12

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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.