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Finding the Fourth Proportional to 9,158.58, 12,638.34 and 5,180.49

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Solution

The fourth proportional to 9,158.58, 12,638.34 and 5,180.49 is: 7,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.58 : 12,638.34 = 5,180.49 : x
  2. Step 2: Convert to fraction form
    9,158.58/12,638.34 = 5,180.49/x
  3. Step 3: Cross multiply
    9,158.58x = 12,638.34 × 5,180.49
  4. Step 4: Simplify right side
    9,158.58x = 65,472,793.99
  5. Step 5: Solve for x
    x = 65,472,793.99/9,158.58
  6. Step 6: Final answer
    x = 7,148.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.