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Finding the Fourth Proportional to 6,371.10, 9,603.95 and 5,939.10

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Solution

The fourth proportional to 6,371.10, 9,603.95 and 5,939.10 is: 8,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.10 : 9,603.95 = 5,939.10 : x
  2. Step 2: Convert to fraction form
    6,371.10/9,603.95 = 5,939.10/x
  3. Step 3: Cross multiply
    6,371.10x = 9,603.95 × 5,939.10
  4. Step 4: Simplify right side
    6,371.10x = 57,038,789.75
  5. Step 5: Solve for x
    x = 57,038,789.75/6,371.10
  6. Step 6: Final answer
    x = 8,952.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.