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Finding the Fourth Proportional to 9,130.32, 13,676.31 and 5,796.85

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Solution

The fourth proportional to 9,130.32, 13,676.31 and 5,796.85 is: 8,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.32 : 13,676.31 = 5,796.85 : x
  2. Step 2: Convert to fraction form
    9,130.32/13,676.31 = 5,796.85/x
  3. Step 3: Cross multiply
    9,130.32x = 13,676.31 × 5,796.85
  4. Step 4: Simplify right side
    9,130.32x = 79,279,517.62
  5. Step 5: Solve for x
    x = 79,279,517.62/9,130.32
  6. Step 6: Final answer
    x = 8,683.10

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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.