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Finding the Fourth Proportional to 6,870.18, 9,481.38 and 3,886.05

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Solution

The fourth proportional to 6,870.18, 9,481.38 and 3,886.05 is: 5,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.18 : 9,481.38 = 3,886.05 : x
  2. Step 2: Convert to fraction form
    6,870.18/9,481.38 = 3,886.05/x
  3. Step 3: Cross multiply
    6,870.18x = 9,481.38 × 3,886.05
  4. Step 4: Simplify right side
    6,870.18x = 36,845,116.75
  5. Step 5: Solve for x
    x = 36,845,116.75/6,870.18
  6. Step 6: Final answer
    x = 5,363.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.