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Finding the Fourth Proportional to 8,200.55, 12,313.20 and 6,552.20

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Solution

The fourth proportional to 8,200.55, 12,313.20 and 6,552.20 is: 9,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.55 : 12,313.20 = 6,552.20 : x
  2. Step 2: Convert to fraction form
    8,200.55/12,313.20 = 6,552.20/x
  3. Step 3: Cross multiply
    8,200.55x = 12,313.20 × 6,552.20
  4. Step 4: Simplify right side
    8,200.55x = 80,678,549.04
  5. Step 5: Solve for x
    x = 80,678,549.04/8,200.55
  6. Step 6: Final answer
    x = 9,838.19

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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.