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Finding the Fourth Proportional to 6,806.87, 10,201.32 and 6,362.93

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Solution

The fourth proportional to 6,806.87, 10,201.32 and 6,362.93 is: 9,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.87 : 10,201.32 = 6,362.93 : x
  2. Step 2: Convert to fraction form
    6,806.87/10,201.32 = 6,362.93/x
  3. Step 3: Cross multiply
    6,806.87x = 10,201.32 × 6,362.93
  4. Step 4: Simplify right side
    6,806.87x = 64,910,234.06
  5. Step 5: Solve for x
    x = 64,910,234.06/6,806.87
  6. Step 6: Final answer
    x = 9,536.00

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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.