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Finding the Fourth Proportional to 6,496.96, 8,965.59 and 4,108.22

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Solution

The fourth proportional to 6,496.96, 8,965.59 and 4,108.22 is: 5,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.96 : 8,965.59 = 4,108.22 : x
  2. Step 2: Convert to fraction form
    6,496.96/8,965.59 = 4,108.22/x
  3. Step 3: Cross multiply
    6,496.96x = 8,965.59 × 4,108.22
  4. Step 4: Simplify right side
    6,496.96x = 36,832,616.15
  5. Step 5: Solve for x
    x = 36,832,616.15/6,496.96
  6. Step 6: Final answer
    x = 5,669.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.