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Finding the Fourth Proportional to 6,862.95, 9,470.79 and 3,878.91

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Solution

The fourth proportional to 6,862.95, 9,470.79 and 3,878.91 is: 5,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.95 : 9,470.79 = 3,878.91 : x
  2. Step 2: Convert to fraction form
    6,862.95/9,470.79 = 3,878.91/x
  3. Step 3: Cross multiply
    6,862.95x = 9,470.79 × 3,878.91
  4. Step 4: Simplify right side
    6,862.95x = 36,736,342.04
  5. Step 5: Solve for x
    x = 36,736,342.04/6,862.95
  6. Step 6: Final answer
    x = 5,352.85

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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.