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Finding the Fourth Proportional to 6,114.30, 9,171.45 and 5,676.90

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Solution

The fourth proportional to 6,114.30, 9,171.45 and 5,676.90 is: 8,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.30 : 9,171.45 = 5,676.90 : x
  2. Step 2: Convert to fraction form
    6,114.30/9,171.45 = 5,676.90/x
  3. Step 3: Cross multiply
    6,114.30x = 9,171.45 × 5,676.90
  4. Step 4: Simplify right side
    6,114.30x = 52,065,404.51
  5. Step 5: Solve for x
    x = 52,065,404.51/6,114.30
  6. Step 6: Final answer
    x = 8,515.35

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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.