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Finding the Fourth Proportional to 9,126.59, 12,594.78 and 5,982.75

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Solution

The fourth proportional to 9,126.59, 12,594.78 and 5,982.75 is: 8,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.59 : 12,594.78 = 5,982.75 : x
  2. Step 2: Convert to fraction form
    9,126.59/12,594.78 = 5,982.75/x
  3. Step 3: Cross multiply
    9,126.59x = 12,594.78 × 5,982.75
  4. Step 4: Simplify right side
    9,126.59x = 75,351,420.05
  5. Step 5: Solve for x
    x = 75,351,420.05/9,126.59
  6. Step 6: Final answer
    x = 8,256.26

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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.