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Finding the Fourth Proportional to 9,595.38, 13,241.62 and 5,616.30

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Solution

The fourth proportional to 9,595.38, 13,241.62 and 5,616.30 is: 7,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.38 : 13,241.62 = 5,616.30 : x
  2. Step 2: Convert to fraction form
    9,595.38/13,241.62 = 5,616.30/x
  3. Step 3: Cross multiply
    9,595.38x = 13,241.62 × 5,616.30
  4. Step 4: Simplify right side
    9,595.38x = 74,368,910.41
  5. Step 5: Solve for x
    x = 74,368,910.41/9,595.38
  6. Step 6: Final answer
    x = 7,750.49

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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.