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Finding the Fourth Proportional to 9,867.92, 14,801.53 and 2,472.44

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Solution

The fourth proportional to 9,867.92, 14,801.53 and 2,472.44 is: 3,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.92 : 14,801.53 = 2,472.44 : x
  2. Step 2: Convert to fraction form
    9,867.92/14,801.53 = 2,472.44/x
  3. Step 3: Cross multiply
    9,867.92x = 14,801.53 × 2,472.44
  4. Step 4: Simplify right side
    9,867.92x = 36,595,814.64
  5. Step 5: Solve for x
    x = 36,595,814.64/9,867.92
  6. Step 6: Final answer
    x = 3,708.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.