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Finding the Fourth Proportional to 6,331.96, 9,500.02 and 3,044.63

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Solution

The fourth proportional to 6,331.96, 9,500.02 and 3,044.63 is: 4,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.96 : 9,500.02 = 3,044.63 : x
  2. Step 2: Convert to fraction form
    6,331.96/9,500.02 = 3,044.63/x
  3. Step 3: Cross multiply
    6,331.96x = 9,500.02 × 3,044.63
  4. Step 4: Simplify right side
    6,331.96x = 28,924,045.89
  5. Step 5: Solve for x
    x = 28,924,045.89/6,331.96
  6. Step 6: Final answer
    x = 4,567.95

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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.