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Finding the Fourth Proportional to 6,585.28, 9,878.04 and 2,202.76

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Solution

The fourth proportional to 6,585.28, 9,878.04 and 2,202.76 is: 3,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.28 : 9,878.04 = 2,202.76 : x
  2. Step 2: Convert to fraction form
    6,585.28/9,878.04 = 2,202.76/x
  3. Step 3: Cross multiply
    6,585.28x = 9,878.04 × 2,202.76
  4. Step 4: Simplify right side
    6,585.28x = 21,758,951.39
  5. Step 5: Solve for x
    x = 21,758,951.39/6,585.28
  6. Step 6: Final answer
    x = 3,304.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.