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Finding the Fourth Proportional to 9,130.18, 13,691.92 and 4,448.78

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Solution

The fourth proportional to 9,130.18, 13,691.92 and 4,448.78 is: 6,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.18 : 13,691.92 = 4,448.78 : x
  2. Step 2: Convert to fraction form
    9,130.18/13,691.92 = 4,448.78/x
  3. Step 3: Cross multiply
    9,130.18x = 13,691.92 × 4,448.78
  4. Step 4: Simplify right side
    9,130.18x = 60,912,339.86
  5. Step 5: Solve for x
    x = 60,912,339.86/9,130.18
  6. Step 6: Final answer
    x = 6,671.54

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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.