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Finding the Fourth Proportional to 8,993.67, 12,407.75 and 5,806.12

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Solution

The fourth proportional to 8,993.67, 12,407.75 and 5,806.12 is: 8,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.67 : 12,407.75 = 5,806.12 : x
  2. Step 2: Convert to fraction form
    8,993.67/12,407.75 = 5,806.12/x
  3. Step 3: Cross multiply
    8,993.67x = 12,407.75 × 5,806.12
  4. Step 4: Simplify right side
    8,993.67x = 72,040,823.39
  5. Step 5: Solve for x
    x = 72,040,823.39/8,993.67
  6. Step 6: Final answer
    x = 8,010.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.