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Finding the Fourth Proportional to 8,229.02, 12,316.19 and 6,577.83

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Solution

The fourth proportional to 8,229.02, 12,316.19 and 6,577.83 is: 9,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.02 : 12,316.19 = 6,577.83 : x
  2. Step 2: Convert to fraction form
    8,229.02/12,316.19 = 6,577.83/x
  3. Step 3: Cross multiply
    8,229.02x = 12,316.19 × 6,577.83
  4. Step 4: Simplify right side
    8,229.02x = 81,013,771.18
  5. Step 5: Solve for x
    x = 81,013,771.18/8,229.02
  6. Step 6: Final answer
    x = 9,844.89

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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.