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Finding the Fourth Proportional to 6,113.68, 9,164.04 and 2,651.20

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Solution

The fourth proportional to 6,113.68, 9,164.04 and 2,651.20 is: 3,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.68 : 9,164.04 = 2,651.20 : x
  2. Step 2: Convert to fraction form
    6,113.68/9,164.04 = 2,651.20/x
  3. Step 3: Cross multiply
    6,113.68x = 9,164.04 × 2,651.20
  4. Step 4: Simplify right side
    6,113.68x = 24,295,702.85
  5. Step 5: Solve for x
    x = 24,295,702.85/6,113.68
  6. Step 6: Final answer
    x = 3,973.99

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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.