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Finding the Fourth Proportional to 6,301.43, 8,695.67 and 3,468.74

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Solution

The fourth proportional to 6,301.43, 8,695.67 and 3,468.74 is: 4,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.43 : 8,695.67 = 3,468.74 : x
  2. Step 2: Convert to fraction form
    6,301.43/8,695.67 = 3,468.74/x
  3. Step 3: Cross multiply
    6,301.43x = 8,695.67 × 3,468.74
  4. Step 4: Simplify right side
    6,301.43x = 30,163,034.93
  5. Step 5: Solve for x
    x = 30,163,034.93/6,301.43
  6. Step 6: Final answer
    x = 4,786.70

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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.