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Finding the Fourth Proportional to 6,897.32, 10,337.87 and 3,191.72

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Solution

The fourth proportional to 6,897.32, 10,337.87 and 3,191.72 is: 4,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.32 : 10,337.87 = 3,191.72 : x
  2. Step 2: Convert to fraction form
    6,897.32/10,337.87 = 3,191.72/x
  3. Step 3: Cross multiply
    6,897.32x = 10,337.87 × 3,191.72
  4. Step 4: Simplify right side
    6,897.32x = 32,995,586.44
  5. Step 5: Solve for x
    x = 32,995,586.44/6,897.32
  6. Step 6: Final answer
    x = 4,783.83

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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.