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Finding the Fourth Proportional to 6,012.81, 9,015.84 and 4,140.90

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Solution

The fourth proportional to 6,012.81, 9,015.84 and 4,140.90 is: 6,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.81 : 9,015.84 = 4,140.90 : x
  2. Step 2: Convert to fraction form
    6,012.81/9,015.84 = 4,140.90/x
  3. Step 3: Cross multiply
    6,012.81x = 9,015.84 × 4,140.90
  4. Step 4: Simplify right side
    6,012.81x = 37,333,691.86
  5. Step 5: Solve for x
    x = 37,333,691.86/6,012.81
  6. Step 6: Final answer
    x = 6,209.03

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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.