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Finding the Fourth Proportional to 6,510.80, 9,766.20 and 3,230.30

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Solution

The fourth proportional to 6,510.80, 9,766.20 and 3,230.30 is: 4,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.80 : 9,766.20 = 3,230.30 : x
  2. Step 2: Convert to fraction form
    6,510.80/9,766.20 = 3,230.30/x
  3. Step 3: Cross multiply
    6,510.80x = 9,766.20 × 3,230.30
  4. Step 4: Simplify right side
    6,510.80x = 31,547,755.86
  5. Step 5: Solve for x
    x = 31,547,755.86/6,510.80
  6. Step 6: Final answer
    x = 4,845.45

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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.