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Finding the Fourth Proportional to 6,595.11, 9,894.74 and 3,965.49

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Solution

The fourth proportional to 6,595.11, 9,894.74 and 3,965.49 is: 5,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.11 : 9,894.74 = 3,965.49 : x
  2. Step 2: Convert to fraction form
    6,595.11/9,894.74 = 3,965.49/x
  3. Step 3: Cross multiply
    6,595.11x = 9,894.74 × 3,965.49
  4. Step 4: Simplify right side
    6,595.11x = 39,237,472.70
  5. Step 5: Solve for x
    x = 39,237,472.70/6,595.11
  6. Step 6: Final answer
    x = 5,949.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.