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Finding the Fourth Proportional to 9,391.68, 14,077.44 and 4,777.92

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Solution

The fourth proportional to 9,391.68, 14,077.44 and 4,777.92 is: 7,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.68 : 14,077.44 = 4,777.92 : x
  2. Step 2: Convert to fraction form
    9,391.68/14,077.44 = 4,777.92/x
  3. Step 3: Cross multiply
    9,391.68x = 14,077.44 × 4,777.92
  4. Step 4: Simplify right side
    9,391.68x = 67,260,882.12
  5. Step 5: Solve for x
    x = 67,260,882.12/9,391.68
  6. Step 6: Final answer
    x = 7,161.75

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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.