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Finding the Fourth Proportional to 9,818.62, 13,549.73 and 5,342.38

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Solution

The fourth proportional to 9,818.62, 13,549.73 and 5,342.38 is: 7,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.62 : 13,549.73 = 5,342.38 : x
  2. Step 2: Convert to fraction form
    9,818.62/13,549.73 = 5,342.38/x
  3. Step 3: Cross multiply
    9,818.62x = 13,549.73 × 5,342.38
  4. Step 4: Simplify right side
    9,818.62x = 72,387,745.97
  5. Step 5: Solve for x
    x = 72,387,745.97/9,818.62
  6. Step 6: Final answer
    x = 7,372.50

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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.