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Finding the Fourth Proportional to 9,569.13, 13,205.34 and 5,377.38

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Solution

The fourth proportional to 9,569.13, 13,205.34 and 5,377.38 is: 7,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.13 : 13,205.34 = 5,377.38 : x
  2. Step 2: Convert to fraction form
    9,569.13/13,205.34 = 5,377.38/x
  3. Step 3: Cross multiply
    9,569.13x = 13,205.34 × 5,377.38
  4. Step 4: Simplify right side
    9,569.13x = 71,010,131.21
  5. Step 5: Solve for x
    x = 71,010,131.21/9,569.13
  6. Step 6: Final answer
    x = 7,420.75

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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.