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Finding the Fourth Proportional to 7,220.38, 9,962.68 and 4,237.14

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Solution

The fourth proportional to 7,220.38, 9,962.68 and 4,237.14 is: 5,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.38 : 9,962.68 = 4,237.14 : x
  2. Step 2: Convert to fraction form
    7,220.38/9,962.68 = 4,237.14/x
  3. Step 3: Cross multiply
    7,220.38x = 9,962.68 × 4,237.14
  4. Step 4: Simplify right side
    7,220.38x = 42,213,269.94
  5. Step 5: Solve for x
    x = 42,213,269.94/7,220.38
  6. Step 6: Final answer
    x = 5,846.41

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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.