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Finding the Fourth Proportional to 9,216, 12,717.42 and 5,236.44

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Solution

The fourth proportional to 9,216, 12,717.42 and 5,236.44 is: 7,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 12,717.42 = 5,236.44 : x
  2. Step 2: Convert to fraction form
    9,216/12,717.42 = 5,236.44/x
  3. Step 3: Cross multiply
    9,216x = 12,717.42 × 5,236.44
  4. Step 4: Simplify right side
    9,216x = 66,594,006.78
  5. Step 5: Solve for x
    x = 66,594,006.78/9,216
  6. Step 6: Final answer
    x = 7,225.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.