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Finding the Fourth Proportional to 6,102.90, 9,155.16 and 2,816.73

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Solution

The fourth proportional to 6,102.90, 9,155.16 and 2,816.73 is: 4,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.90 : 9,155.16 = 2,816.73 : x
  2. Step 2: Convert to fraction form
    6,102.90/9,155.16 = 2,816.73/x
  3. Step 3: Cross multiply
    6,102.90x = 9,155.16 × 2,816.73
  4. Step 4: Simplify right side
    6,102.90x = 25,787,613.83
  5. Step 5: Solve for x
    x = 25,787,613.83/6,102.90
  6. Step 6: Final answer
    x = 4,225.47

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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.