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Finding the Fourth Proportional to 6,366.56, 9,541.20 and 4,729.28

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Solution

The fourth proportional to 6,366.56, 9,541.20 and 4,729.28 is: 7,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.56 : 9,541.20 = 4,729.28 : x
  2. Step 2: Convert to fraction form
    6,366.56/9,541.20 = 4,729.28/x
  3. Step 3: Cross multiply
    6,366.56x = 9,541.20 × 4,729.28
  4. Step 4: Simplify right side
    6,366.56x = 45,123,006.34
  5. Step 5: Solve for x
    x = 45,123,006.34/6,366.56
  6. Step 6: Final answer
    x = 7,087.50

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Why These Related Problems?

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