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Finding the Fourth Proportional to 6,476.05, 9,715.49 and 2,093.95

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Solution

The fourth proportional to 6,476.05, 9,715.49 and 2,093.95 is: 3,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.05 : 9,715.49 = 2,093.95 : x
  2. Step 2: Convert to fraction form
    6,476.05/9,715.49 = 2,093.95/x
  3. Step 3: Cross multiply
    6,476.05x = 9,715.49 × 2,093.95
  4. Step 4: Simplify right side
    6,476.05x = 20,343,691.24
  5. Step 5: Solve for x
    x = 20,343,691.24/6,476.05
  6. Step 6: Final answer
    x = 3,141.38

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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.