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Finding the Fourth Proportional to 6,395.32, 9,603.76 and 4,177.94

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Solution

The fourth proportional to 6,395.32, 9,603.76 and 4,177.94 is: 6,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.32 : 9,603.76 = 4,177.94 : x
  2. Step 2: Convert to fraction form
    6,395.32/9,603.76 = 4,177.94/x
  3. Step 3: Cross multiply
    6,395.32x = 9,603.76 × 4,177.94
  4. Step 4: Simplify right side
    6,395.32x = 40,123,947.01
  5. Step 5: Solve for x
    x = 40,123,947.01/6,395.32
  6. Step 6: Final answer
    x = 6,273.96

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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.