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Finding the Fourth Proportional to 6,281.68, 9,424.07 and 4,436.41

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Solution

The fourth proportional to 6,281.68, 9,424.07 and 4,436.41 is: 6,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.68 : 9,424.07 = 4,436.41 : x
  2. Step 2: Convert to fraction form
    6,281.68/9,424.07 = 4,436.41/x
  3. Step 3: Cross multiply
    6,281.68x = 9,424.07 × 4,436.41
  4. Step 4: Simplify right side
    6,281.68x = 41,809,038.39
  5. Step 5: Solve for x
    x = 41,809,038.39/6,281.68
  6. Step 6: Final answer
    x = 6,655.71

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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.