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Finding the Fourth Proportional to 6,942.28, 9,577.02 and 4,288.72

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Solution

The fourth proportional to 6,942.28, 9,577.02 and 4,288.72 is: 5,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.28 : 9,577.02 = 4,288.72 : x
  2. Step 2: Convert to fraction form
    6,942.28/9,577.02 = 4,288.72/x
  3. Step 3: Cross multiply
    6,942.28x = 9,577.02 × 4,288.72
  4. Step 4: Simplify right side
    6,942.28x = 41,073,157.21
  5. Step 5: Solve for x
    x = 41,073,157.21/6,942.28
  6. Step 6: Final answer
    x = 5,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.