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Finding the Fourth Proportional to 9,251.86, 13,880.06 and 2,678.71

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Solution

The fourth proportional to 9,251.86, 13,880.06 and 2,678.71 is: 4,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.86 : 13,880.06 = 2,678.71 : x
  2. Step 2: Convert to fraction form
    9,251.86/13,880.06 = 2,678.71/x
  3. Step 3: Cross multiply
    9,251.86x = 13,880.06 × 2,678.71
  4. Step 4: Simplify right side
    9,251.86x = 37,180,586.12
  5. Step 5: Solve for x
    x = 37,180,586.12/9,251.86
  6. Step 6: Final answer
    x = 4,018.72

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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.