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Finding the Fourth Proportional to 6,209.98, 8,569.77 and 3,415.48

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Solution

The fourth proportional to 6,209.98, 8,569.77 and 3,415.48 is: 4,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.98 : 8,569.77 = 3,415.48 : x
  2. Step 2: Convert to fraction form
    6,209.98/8,569.77 = 3,415.48/x
  3. Step 3: Cross multiply
    6,209.98x = 8,569.77 × 3,415.48
  4. Step 4: Simplify right side
    6,209.98x = 29,269,878.04
  5. Step 5: Solve for x
    x = 29,269,878.04/6,209.98
  6. Step 6: Final answer
    x = 4,713.36

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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.