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Finding the Fourth Proportional to 7,217, 9,959.46 and 4,073.42

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Solution

The fourth proportional to 7,217, 9,959.46 and 4,073.42 is: 5,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217 : 9,959.46 = 4,073.42 : x
  2. Step 2: Convert to fraction form
    7,217/9,959.46 = 4,073.42/x
  3. Step 3: Cross multiply
    7,217x = 9,959.46 × 4,073.42
  4. Step 4: Simplify right side
    7,217x = 40,569,063.55
  5. Step 5: Solve for x
    x = 40,569,063.55/7,217
  6. Step 6: Final answer
    x = 5,621.32

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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.