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Finding the Fourth Proportional to 8,769.42, 12,102.08 and 5,412.15

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Solution

The fourth proportional to 8,769.42, 12,102.08 and 5,412.15 is: 7,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.42 : 12,102.08 = 5,412.15 : x
  2. Step 2: Convert to fraction form
    8,769.42/12,102.08 = 5,412.15/x
  3. Step 3: Cross multiply
    8,769.42x = 12,102.08 × 5,412.15
  4. Step 4: Simplify right side
    8,769.42x = 65,498,245.21
  5. Step 5: Solve for x
    x = 65,498,245.21/8,769.42
  6. Step 6: Final answer
    x = 7,468.94

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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.