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Finding the Fourth Proportional to 9,795.38, 13,519.45 and 5,603.62

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Solution

The fourth proportional to 9,795.38, 13,519.45 and 5,603.62 is: 7,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.38 : 13,519.45 = 5,603.62 : x
  2. Step 2: Convert to fraction form
    9,795.38/13,519.45 = 5,603.62/x
  3. Step 3: Cross multiply
    9,795.38x = 13,519.45 × 5,603.62
  4. Step 4: Simplify right side
    9,795.38x = 75,757,860.41
  5. Step 5: Solve for x
    x = 75,757,860.41/9,795.38
  6. Step 6: Final answer
    x = 7,734.04

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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.