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Finding the Fourth Proportional to 6,205.80, 9,311.40 and 3,127.80

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Solution

The fourth proportional to 6,205.80, 9,311.40 and 3,127.80 is: 4,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.80 : 9,311.40 = 3,127.80 : x
  2. Step 2: Convert to fraction form
    6,205.80/9,311.40 = 3,127.80/x
  3. Step 3: Cross multiply
    6,205.80x = 9,311.40 × 3,127.80
  4. Step 4: Simplify right side
    6,205.80x = 29,124,196.92
  5. Step 5: Solve for x
    x = 29,124,196.92/6,205.80
  6. Step 6: Final answer
    x = 4,693.06

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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.