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Finding the Fourth Proportional to 6,210.80, 9,316.20 and 5,271.20

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Solution

The fourth proportional to 6,210.80, 9,316.20 and 5,271.20 is: 7,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.80 : 9,316.20 = 5,271.20 : x
  2. Step 2: Convert to fraction form
    6,210.80/9,316.20 = 5,271.20/x
  3. Step 3: Cross multiply
    6,210.80x = 9,316.20 × 5,271.20
  4. Step 4: Simplify right side
    6,210.80x = 49,107,553.44
  5. Step 5: Solve for x
    x = 49,107,553.44/6,210.80
  6. Step 6: Final answer
    x = 7,906.80

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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.