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Finding the Fourth Proportional to 6,169.29, 8,513.51 and 4,069.77

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Solution

The fourth proportional to 6,169.29, 8,513.51 and 4,069.77 is: 5,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.29 : 8,513.51 = 4,069.77 : x
  2. Step 2: Convert to fraction form
    6,169.29/8,513.51 = 4,069.77/x
  3. Step 3: Cross multiply
    6,169.29x = 8,513.51 × 4,069.77
  4. Step 4: Simplify right side
    6,169.29x = 34,648,007.24
  5. Step 5: Solve for x
    x = 34,648,007.24/6,169.29
  6. Step 6: Final answer
    x = 5,616.21

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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.