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Finding the Fourth Proportional to 6,862.14, 9,470.00 and 3,878.30

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Solution

The fourth proportional to 6,862.14, 9,470.00 and 3,878.30 is: 5,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.14 : 9,470.00 = 3,878.30 : x
  2. Step 2: Convert to fraction form
    6,862.14/9,470.00 = 3,878.30/x
  3. Step 3: Cross multiply
    6,862.14x = 9,470.00 × 3,878.30
  4. Step 4: Simplify right side
    6,862.14x = 36,727,534.37
  5. Step 5: Solve for x
    x = 36,727,534.37/6,862.14
  6. Step 6: Final answer
    x = 5,352.20

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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.