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Finding the Fourth Proportional to 9,341.28, 12,896.24 and 6,201.76

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Solution

The fourth proportional to 9,341.28, 12,896.24 and 6,201.76 is: 8,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.28 : 12,896.24 = 6,201.76 : x
  2. Step 2: Convert to fraction form
    9,341.28/12,896.24 = 6,201.76/x
  3. Step 3: Cross multiply
    9,341.28x = 12,896.24 × 6,201.76
  4. Step 4: Simplify right side
    9,341.28x = 79,979,385.38
  5. Step 5: Solve for x
    x = 79,979,385.38/9,341.28
  6. Step 6: Final answer
    x = 8,561.93

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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.