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Finding the Fourth Proportional to 6,870.12, 9,481.17 and 3,886.25

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Solution

The fourth proportional to 6,870.12, 9,481.17 and 3,886.25 is: 5,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.12 : 9,481.17 = 3,886.25 : x
  2. Step 2: Convert to fraction form
    6,870.12/9,481.17 = 3,886.25/x
  3. Step 3: Cross multiply
    6,870.12x = 9,481.17 × 3,886.25
  4. Step 4: Simplify right side
    6,870.12x = 36,846,149.51
  5. Step 5: Solve for x
    x = 36,846,149.51/6,870.12
  6. Step 6: Final answer
    x = 5,363.25

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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.