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Finding the Fourth Proportional to 6,424.37, 9,620.75 and 5,306.95

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Solution

The fourth proportional to 6,424.37, 9,620.75 and 5,306.95 is: 7,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.37 : 9,620.75 = 5,306.95 : x
  2. Step 2: Convert to fraction form
    6,424.37/9,620.75 = 5,306.95/x
  3. Step 3: Cross multiply
    6,424.37x = 9,620.75 × 5,306.95
  4. Step 4: Simplify right side
    6,424.37x = 51,056,829.29
  5. Step 5: Solve for x
    x = 51,056,829.29/6,424.37
  6. Step 6: Final answer
    x = 7,947.37

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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.