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Finding the Fourth Proportional to 6,165.43, 9,256.12 and 5,293.60

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Solution

The fourth proportional to 6,165.43, 9,256.12 and 5,293.60 is: 7,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.43 : 9,256.12 = 5,293.60 : x
  2. Step 2: Convert to fraction form
    6,165.43/9,256.12 = 5,293.60/x
  3. Step 3: Cross multiply
    6,165.43x = 9,256.12 × 5,293.60
  4. Step 4: Simplify right side
    6,165.43x = 48,998,160.46
  5. Step 5: Solve for x
    x = 48,998,160.46/6,165.43
  6. Step 6: Final answer
    x = 7,947.24

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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.