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Finding the Fourth Proportional to 9,569.67, 13,207.37 and 5,377.92

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Solution

The fourth proportional to 9,569.67, 13,207.37 and 5,377.92 is: 7,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.67 : 13,207.37 = 5,377.92 : x
  2. Step 2: Convert to fraction form
    9,569.67/13,207.37 = 5,377.92/x
  3. Step 3: Cross multiply
    9,569.67x = 13,207.37 × 5,377.92
  4. Step 4: Simplify right side
    9,569.67x = 71,028,152.38
  5. Step 5: Solve for x
    x = 71,028,152.38/9,569.67
  6. Step 6: Final answer
    x = 7,422.22

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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.