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Finding the Fourth Proportional to 6,165.40, 9,248.10 and 5,906.20

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Solution

The fourth proportional to 6,165.40, 9,248.10 and 5,906.20 is: 8,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.40 : 9,248.10 = 5,906.20 : x
  2. Step 2: Convert to fraction form
    6,165.40/9,248.10 = 5,906.20/x
  3. Step 3: Cross multiply
    6,165.40x = 9,248.10 × 5,906.20
  4. Step 4: Simplify right side
    6,165.40x = 54,621,128.22
  5. Step 5: Solve for x
    x = 54,621,128.22/6,165.40
  6. Step 6: Final answer
    x = 8,859.30

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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.