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Finding the Fourth Proportional to 6,496.67, 9,677.95 and 6,093.29

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Solution

The fourth proportional to 6,496.67, 9,677.95 and 6,093.29 is: 9,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.67 : 9,677.95 = 6,093.29 : x
  2. Step 2: Convert to fraction form
    6,496.67/9,677.95 = 6,093.29/x
  3. Step 3: Cross multiply
    6,496.67x = 9,677.95 × 6,093.29
  4. Step 4: Simplify right side
    6,496.67x = 58,970,564.92
  5. Step 5: Solve for x
    x = 58,970,564.92/6,496.67
  6. Step 6: Final answer
    x = 9,077.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.