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Finding the Fourth Proportional to 6,205.61, 9,309.71 and 1,822.70

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Solution

The fourth proportional to 6,205.61, 9,309.71 and 1,822.70 is: 2,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.61 : 9,309.71 = 1,822.70 : x
  2. Step 2: Convert to fraction form
    6,205.61/9,309.71 = 1,822.70/x
  3. Step 3: Cross multiply
    6,205.61x = 9,309.71 × 1,822.70
  4. Step 4: Simplify right side
    6,205.61x = 16,968,808.42
  5. Step 5: Solve for x
    x = 16,968,808.42/6,205.61
  6. Step 6: Final answer
    x = 2,734.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.