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Finding the Fourth Proportional to 9,574.38, 13,211.20 and 5,381.82

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Solution

The fourth proportional to 9,574.38, 13,211.20 and 5,381.82 is: 7,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.38 : 13,211.20 = 5,381.82 : x
  2. Step 2: Convert to fraction form
    9,574.38/13,211.20 = 5,381.82/x
  3. Step 3: Cross multiply
    9,574.38x = 13,211.20 × 5,381.82
  4. Step 4: Simplify right side
    9,574.38x = 71,100,300.38
  5. Step 5: Solve for x
    x = 71,100,300.38/9,574.38
  6. Step 6: Final answer
    x = 7,426.10

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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.