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Finding the Fourth Proportional to 6,257.59, 9,387.09 and 2,097.90

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Solution

The fourth proportional to 6,257.59, 9,387.09 and 2,097.90 is: 3,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.59 : 9,387.09 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    6,257.59/9,387.09 = 2,097.90/x
  3. Step 3: Cross multiply
    6,257.59x = 9,387.09 × 2,097.90
  4. Step 4: Simplify right side
    6,257.59x = 19,693,176.11
  5. Step 5: Solve for x
    x = 19,693,176.11/6,257.59
  6. Step 6: Final answer
    x = 3,147.09

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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.