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Finding the Fourth Proportional to 6,343.61, 9,518.90 and 3,223.89

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Solution

The fourth proportional to 6,343.61, 9,518.90 and 3,223.89 is: 4,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.61 : 9,518.90 = 3,223.89 : x
  2. Step 2: Convert to fraction form
    6,343.61/9,518.90 = 3,223.89/x
  3. Step 3: Cross multiply
    6,343.61x = 9,518.90 × 3,223.89
  4. Step 4: Simplify right side
    6,343.61x = 30,687,861.76
  5. Step 5: Solve for x
    x = 30,687,861.76/6,343.61
  6. Step 6: Final answer
    x = 4,837.60

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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.