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Finding the Fourth Proportional to 6,332.49, 9,499.82 and 1,949.85

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Solution

The fourth proportional to 6,332.49, 9,499.82 and 1,949.85 is: 2,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.49 : 9,499.82 = 1,949.85 : x
  2. Step 2: Convert to fraction form
    6,332.49/9,499.82 = 1,949.85/x
  3. Step 3: Cross multiply
    6,332.49x = 9,499.82 × 1,949.85
  4. Step 4: Simplify right side
    6,332.49x = 18,523,214.28
  5. Step 5: Solve for x
    x = 18,523,214.28/6,332.49
  6. Step 6: Final answer
    x = 2,925.11

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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.