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Finding the Fourth Proportional to 6,862.84, 9,470.66 and 3,878.62

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Solution

The fourth proportional to 6,862.84, 9,470.66 and 3,878.62 is: 5,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.84 : 9,470.66 = 3,878.62 : x
  2. Step 2: Convert to fraction form
    6,862.84/9,470.66 = 3,878.62/x
  3. Step 3: Cross multiply
    6,862.84x = 9,470.66 × 3,878.62
  4. Step 4: Simplify right side
    6,862.84x = 36,733,091.29
  5. Step 5: Solve for x
    x = 36,733,091.29/6,862.84
  6. Step 6: Final answer
    x = 5,352.46

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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.