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Finding the Fourth Proportional to 6,117.14, 9,180.22 and 2,789.16

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Solution

The fourth proportional to 6,117.14, 9,180.22 and 2,789.16 is: 4,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.14 : 9,180.22 = 2,789.16 : x
  2. Step 2: Convert to fraction form
    6,117.14/9,180.22 = 2,789.16/x
  3. Step 3: Cross multiply
    6,117.14x = 9,180.22 × 2,789.16
  4. Step 4: Simplify right side
    6,117.14x = 25,605,102.42
  5. Step 5: Solve for x
    x = 25,605,102.42/6,117.14
  6. Step 6: Final answer
    x = 4,185.80

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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.