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Finding the Fourth Proportional to 6,257.36, 9,387.54 and 2,097.39

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Solution

The fourth proportional to 6,257.36, 9,387.54 and 2,097.39 is: 3,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.36 : 9,387.54 = 2,097.39 : x
  2. Step 2: Convert to fraction form
    6,257.36/9,387.54 = 2,097.39/x
  3. Step 3: Cross multiply
    6,257.36x = 9,387.54 × 2,097.39
  4. Step 4: Simplify right side
    6,257.36x = 19,689,332.52
  5. Step 5: Solve for x
    x = 19,689,332.52/6,257.36
  6. Step 6: Final answer
    x = 3,146.59

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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.