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Finding the Fourth Proportional to 9,601.33, 14,403.95 and 5,443.19

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Solution

The fourth proportional to 9,601.33, 14,403.95 and 5,443.19 is: 8,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.33 : 14,403.95 = 5,443.19 : x
  2. Step 2: Convert to fraction form
    9,601.33/14,403.95 = 5,443.19/x
  3. Step 3: Cross multiply
    9,601.33x = 14,403.95 × 5,443.19
  4. Step 4: Simplify right side
    9,601.33x = 78,403,523.43
  5. Step 5: Solve for x
    x = 78,403,523.43/9,601.33
  6. Step 6: Final answer
    x = 8,165.90

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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.