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Finding the Fourth Proportional to 9,818.67, 13,549.37 and 5,342.43

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Solution

The fourth proportional to 9,818.67, 13,549.37 and 5,342.43 is: 7,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.67 : 13,549.37 = 5,342.43 : x
  2. Step 2: Convert to fraction form
    9,818.67/13,549.37 = 5,342.43/x
  3. Step 3: Cross multiply
    9,818.67x = 13,549.37 × 5,342.43
  4. Step 4: Simplify right side
    9,818.67x = 72,386,584.87
  5. Step 5: Solve for x
    x = 72,386,584.87/9,818.67
  6. Step 6: Final answer
    x = 7,372.34

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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.