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Finding the Fourth Proportional to 7,217.47, 9,960.23 and 4,233.38

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Solution

The fourth proportional to 7,217.47, 9,960.23 and 4,233.38 is: 5,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.47 : 9,960.23 = 4,233.38 : x
  2. Step 2: Convert to fraction form
    7,217.47/9,960.23 = 4,233.38/x
  3. Step 3: Cross multiply
    7,217.47x = 9,960.23 × 4,233.38
  4. Step 4: Simplify right side
    7,217.47x = 42,165,417.31
  5. Step 5: Solve for x
    x = 42,165,417.31/7,217.47
  6. Step 6: Final answer
    x = 5,842.14

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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.