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Finding the Fourth Proportional to 6,178.55, 9,258.65 and 3,247.97

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Solution

The fourth proportional to 6,178.55, 9,258.65 and 3,247.97 is: 4,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.55 : 9,258.65 = 3,247.97 : x
  2. Step 2: Convert to fraction form
    6,178.55/9,258.65 = 3,247.97/x
  3. Step 3: Cross multiply
    6,178.55x = 9,258.65 × 3,247.97
  4. Step 4: Simplify right side
    6,178.55x = 30,071,817.44
  5. Step 5: Solve for x
    x = 30,071,817.44/6,178.55
  6. Step 6: Final answer
    x = 4,867.13

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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.