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Finding the Fourth Proportional to 6,842.24, 9,442.71 and 4,153.71

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Solution

The fourth proportional to 6,842.24, 9,442.71 and 4,153.71 is: 5,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.24 : 9,442.71 = 4,153.71 : x
  2. Step 2: Convert to fraction form
    6,842.24/9,442.71 = 4,153.71/x
  3. Step 3: Cross multiply
    6,842.24x = 9,442.71 × 4,153.71
  4. Step 4: Simplify right side
    6,842.24x = 39,222,278.95
  5. Step 5: Solve for x
    x = 39,222,278.95/6,842.24
  6. Step 6: Final answer
    x = 5,732.38

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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.