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Finding the Fourth Proportional to 9,138.15, 12,609.09 and 5,158.80

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Solution

The fourth proportional to 9,138.15, 12,609.09 and 5,158.80 is: 7,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.15 : 12,609.09 = 5,158.80 : x
  2. Step 2: Convert to fraction form
    9,138.15/12,609.09 = 5,158.80/x
  3. Step 3: Cross multiply
    9,138.15x = 12,609.09 × 5,158.80
  4. Step 4: Simplify right side
    9,138.15x = 65,047,773.49
  5. Step 5: Solve for x
    x = 65,047,773.49/9,138.15
  6. Step 6: Final answer
    x = 7,118.27

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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.