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Finding the Fourth Proportional to 6,862.41, 9,470.16 and 3,718.61

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Solution

The fourth proportional to 6,862.41, 9,470.16 and 3,718.61 is: 5,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.41 : 9,470.16 = 3,718.61 : x
  2. Step 2: Convert to fraction form
    6,862.41/9,470.16 = 3,718.61/x
  3. Step 3: Cross multiply
    6,862.41x = 9,470.16 × 3,718.61
  4. Step 4: Simplify right side
    6,862.41x = 35,215,784.33
  5. Step 5: Solve for x
    x = 35,215,784.33/6,862.41
  6. Step 6: Final answer
    x = 5,131.69

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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.