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Finding the Fourth Proportional to 9,805.82, 14,707.17 and 8,150.57

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Solution

The fourth proportional to 9,805.82, 14,707.17 and 8,150.57 is: 12,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.82 : 14,707.17 = 8,150.57 : x
  2. Step 2: Convert to fraction form
    9,805.82/14,707.17 = 8,150.57/x
  3. Step 3: Cross multiply
    9,805.82x = 14,707.17 × 8,150.57
  4. Step 4: Simplify right side
    9,805.82x = 119,871,818.59
  5. Step 5: Solve for x
    x = 119,871,818.59/9,805.82
  6. Step 6: Final answer
    x = 12,224.56

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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.