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Finding the Fourth Proportional to 6,428.99, 9,638.80 and 4,343.83

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Solution

The fourth proportional to 6,428.99, 9,638.80 and 4,343.83 is: 6,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.99 : 9,638.80 = 4,343.83 : x
  2. Step 2: Convert to fraction form
    6,428.99/9,638.80 = 4,343.83/x
  3. Step 3: Cross multiply
    6,428.99x = 9,638.80 × 4,343.83
  4. Step 4: Simplify right side
    6,428.99x = 41,869,273.65
  5. Step 5: Solve for x
    x = 41,869,273.65/6,428.99
  6. Step 6: Final answer
    x = 6,512.57

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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.