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Finding the Fourth Proportional to 6,307.92, 9,461.88 and 5,996.88

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Solution

The fourth proportional to 6,307.92, 9,461.88 and 5,996.88 is: 8,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.92 : 9,461.88 = 5,996.88 : x
  2. Step 2: Convert to fraction form
    6,307.92/9,461.88 = 5,996.88/x
  3. Step 3: Cross multiply
    6,307.92x = 9,461.88 × 5,996.88
  4. Step 4: Simplify right side
    6,307.92x = 56,741,758.93
  5. Step 5: Solve for x
    x = 56,741,758.93/6,307.92
  6. Step 6: Final answer
    x = 8,995.32

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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.