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Finding the Fourth Proportional to 9,257.71, 13,887.65 and 3,251.94

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Solution

The fourth proportional to 9,257.71, 13,887.65 and 3,251.94 is: 4,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.71 : 13,887.65 = 3,251.94 : x
  2. Step 2: Convert to fraction form
    9,257.71/13,887.65 = 3,251.94/x
  3. Step 3: Cross multiply
    9,257.71x = 13,887.65 × 3,251.94
  4. Step 4: Simplify right side
    9,257.71x = 45,161,804.54
  5. Step 5: Solve for x
    x = 45,161,804.54/9,257.71
  6. Step 6: Final answer
    x = 4,878.29

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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.