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Finding the Fourth Proportional to 6,447.08, 9,673.86 and 4,806.92

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Solution

The fourth proportional to 6,447.08, 9,673.86 and 4,806.92 is: 7,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.08 : 9,673.86 = 4,806.92 : x
  2. Step 2: Convert to fraction form
    6,447.08/9,673.86 = 4,806.92/x
  3. Step 3: Cross multiply
    6,447.08x = 9,673.86 × 4,806.92
  4. Step 4: Simplify right side
    6,447.08x = 46,501,471.11
  5. Step 5: Solve for x
    x = 46,501,471.11/6,447.08
  6. Step 6: Final answer
    x = 7,212.80

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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.