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Finding the Fourth Proportional to 6,209.84, 8,569.72 and 3,557.50

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Solution

The fourth proportional to 6,209.84, 8,569.72 and 3,557.50 is: 4,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.84 : 8,569.72 = 3,557.50 : x
  2. Step 2: Convert to fraction form
    6,209.84/8,569.72 = 3,557.50/x
  3. Step 3: Cross multiply
    6,209.84x = 8,569.72 × 3,557.50
  4. Step 4: Simplify right side
    6,209.84x = 30,486,778.90
  5. Step 5: Solve for x
    x = 30,486,778.90/6,209.84
  6. Step 6: Final answer
    x = 4,909.43

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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.