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Finding the Fourth Proportional to 6,209.76, 8,569.46 and 3,415.26

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Solution

The fourth proportional to 6,209.76, 8,569.46 and 3,415.26 is: 4,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.76 : 8,569.46 = 3,415.26 : x
  2. Step 2: Convert to fraction form
    6,209.76/8,569.46 = 3,415.26/x
  3. Step 3: Cross multiply
    6,209.76x = 8,569.46 × 3,415.26
  4. Step 4: Simplify right side
    6,209.76x = 29,266,933.96
  5. Step 5: Solve for x
    x = 29,266,933.96/6,209.76
  6. Step 6: Final answer
    x = 4,713.05

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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.