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Finding the Fourth Proportional to 6,098.42, 9,147.50 and 2,811.51

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Solution

The fourth proportional to 6,098.42, 9,147.50 and 2,811.51 is: 4,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.42 : 9,147.50 = 2,811.51 : x
  2. Step 2: Convert to fraction form
    6,098.42/9,147.50 = 2,811.51/x
  3. Step 3: Cross multiply
    6,098.42x = 9,147.50 × 2,811.51
  4. Step 4: Simplify right side
    6,098.42x = 25,718,284.21
  5. Step 5: Solve for x
    x = 25,718,284.21/6,098.42
  6. Step 6: Final answer
    x = 4,217.20

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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.