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Finding the Fourth Proportional to 6,205.71, 9,315.20 and 2,510.36

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Solution

The fourth proportional to 6,205.71, 9,315.20 and 2,510.36 is: 3,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.71 : 9,315.20 = 2,510.36 : x
  2. Step 2: Convert to fraction form
    6,205.71/9,315.20 = 2,510.36/x
  3. Step 3: Cross multiply
    6,205.71x = 9,315.20 × 2,510.36
  4. Step 4: Simplify right side
    6,205.71x = 23,384,500.10
  5. Step 5: Solve for x
    x = 23,384,500.10/6,205.71
  6. Step 6: Final answer
    x = 3,768.22

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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.