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Finding the Fourth Proportional to 6,774.32, 10,156.01 and 6,227.57

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Solution

The fourth proportional to 6,774.32, 10,156.01 and 6,227.57 is: 9,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.32 : 10,156.01 = 6,227.57 : x
  2. Step 2: Convert to fraction form
    6,774.32/10,156.01 = 6,227.57/x
  3. Step 3: Cross multiply
    6,774.32x = 10,156.01 × 6,227.57
  4. Step 4: Simplify right side
    6,774.32x = 63,247,304.15
  5. Step 5: Solve for x
    x = 63,247,304.15/6,774.32
  6. Step 6: Final answer
    x = 9,336.33

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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.