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Finding the Fourth Proportional to 8,222.34, 12,333.60 and 6,576.78

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Solution

The fourth proportional to 8,222.34, 12,333.60 and 6,576.78 is: 9,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.34 : 12,333.60 = 6,576.78 : x
  2. Step 2: Convert to fraction form
    8,222.34/12,333.60 = 6,576.78/x
  3. Step 3: Cross multiply
    8,222.34x = 12,333.60 × 6,576.78
  4. Step 4: Simplify right side
    8,222.34x = 81,115,373.81
  5. Step 5: Solve for x
    x = 81,115,373.81/8,222.34
  6. Step 6: Final answer
    x = 9,865.24

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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.