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Finding the Fourth Proportional to 6,329.17, 9,493.82 and 4,151.70

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Solution

The fourth proportional to 6,329.17, 9,493.82 and 4,151.70 is: 6,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.17 : 9,493.82 = 4,151.70 : x
  2. Step 2: Convert to fraction form
    6,329.17/9,493.82 = 4,151.70/x
  3. Step 3: Cross multiply
    6,329.17x = 9,493.82 × 4,151.70
  4. Step 4: Simplify right side
    6,329.17x = 39,415,492.49
  5. Step 5: Solve for x
    x = 39,415,492.49/6,329.17
  6. Step 6: Final answer
    x = 6,227.59

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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.