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Finding the Fourth Proportional to 6,301.27, 8,695.05 and 3,648.16

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Solution

The fourth proportional to 6,301.27, 8,695.05 and 3,648.16 is: 5,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.27 : 8,695.05 = 3,648.16 : x
  2. Step 2: Convert to fraction form
    6,301.27/8,695.05 = 3,648.16/x
  3. Step 3: Cross multiply
    6,301.27x = 8,695.05 × 3,648.16
  4. Step 4: Simplify right side
    6,301.27x = 31,720,933.61
  5. Step 5: Solve for x
    x = 31,720,933.61/6,301.27
  6. Step 6: Final answer
    x = 5,034.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.