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Finding the Fourth Proportional to 9,157.44, 13,758.18 and 5,877

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Solution

The fourth proportional to 9,157.44, 13,758.18 and 5,877 is: 8,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.44 : 13,758.18 = 5,877 : x
  2. Step 2: Convert to fraction form
    9,157.44/13,758.18 = 5,877/x
  3. Step 3: Cross multiply
    9,157.44x = 13,758.18 × 5,877
  4. Step 4: Simplify right side
    9,157.44x = 80,856,823.86
  5. Step 5: Solve for x
    x = 80,856,823.86/9,157.44
  6. Step 6: Final answer
    x = 8,829.63

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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.