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Finding the Fourth Proportional to 6,101.19, 9,147.87 and 2,815.02

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Solution

The fourth proportional to 6,101.19, 9,147.87 and 2,815.02 is: 4,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.19 : 9,147.87 = 2,815.02 : x
  2. Step 2: Convert to fraction form
    6,101.19/9,147.87 = 2,815.02/x
  3. Step 3: Cross multiply
    6,101.19x = 9,147.87 × 2,815.02
  4. Step 4: Simplify right side
    6,101.19x = 25,751,437.01
  5. Step 5: Solve for x
    x = 25,751,437.01/6,101.19
  6. Step 6: Final answer
    x = 4,220.72

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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.