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Finding the Fourth Proportional to 6,098.17, 9,148.51 and 1,938.09

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Solution

The fourth proportional to 6,098.17, 9,148.51 and 1,938.09 is: 2,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.17 : 9,148.51 = 1,938.09 : x
  2. Step 2: Convert to fraction form
    6,098.17/9,148.51 = 1,938.09/x
  3. Step 3: Cross multiply
    6,098.17x = 9,148.51 × 1,938.09
  4. Step 4: Simplify right side
    6,098.17x = 17,730,635.75
  5. Step 5: Solve for x
    x = 17,730,635.75/6,098.17
  6. Step 6: Final answer
    x = 2,907.54

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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.