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Finding the Fourth Proportional to 6,851.41, 9,454.89 and 3,707.61

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Solution

The fourth proportional to 6,851.41, 9,454.89 and 3,707.61 is: 5,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.41 : 9,454.89 = 3,707.61 : x
  2. Step 2: Convert to fraction form
    6,851.41/9,454.89 = 3,707.61/x
  3. Step 3: Cross multiply
    6,851.41x = 9,454.89 × 3,707.61
  4. Step 4: Simplify right side
    6,851.41x = 35,055,044.71
  5. Step 5: Solve for x
    x = 35,055,044.71/6,851.41
  6. Step 6: Final answer
    x = 5,116.47

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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.