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Finding the Fourth Proportional to 6,098.04, 9,147.15 and 1,938.69

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Solution

The fourth proportional to 6,098.04, 9,147.15 and 1,938.69 is: 2,908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.04 : 9,147.15 = 1,938.69 : x
  2. Step 2: Convert to fraction form
    6,098.04/9,147.15 = 1,938.69/x
  3. Step 3: Cross multiply
    6,098.04x = 9,147.15 × 1,938.69
  4. Step 4: Simplify right side
    6,098.04x = 17,733,488.23
  5. Step 5: Solve for x
    x = 17,733,488.23/6,098.04
  6. Step 6: Final answer
    x = 2,908.06

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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.