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Finding the Fourth Proportional to 6,275.36, 9,414.24 and 3,156.02

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Solution

The fourth proportional to 6,275.36, 9,414.24 and 3,156.02 is: 4,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.36 : 9,414.24 = 3,156.02 : x
  2. Step 2: Convert to fraction form
    6,275.36/9,414.24 = 3,156.02/x
  3. Step 3: Cross multiply
    6,275.36x = 9,414.24 × 3,156.02
  4. Step 4: Simplify right side
    6,275.36x = 29,711,529.72
  5. Step 5: Solve for x
    x = 29,711,529.72/6,275.36
  6. Step 6: Final answer
    x = 4,734.63

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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.