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Finding the Fourth Proportional to 9,351.81, 14,016.02 and 4,673.13

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Solution

The fourth proportional to 9,351.81, 14,016.02 and 4,673.13 is: 7,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.81 : 14,016.02 = 4,673.13 : x
  2. Step 2: Convert to fraction form
    9,351.81/14,016.02 = 4,673.13/x
  3. Step 3: Cross multiply
    9,351.81x = 14,016.02 × 4,673.13
  4. Step 4: Simplify right side
    9,351.81x = 65,498,633.90
  5. Step 5: Solve for x
    x = 65,498,633.90/9,351.81
  6. Step 6: Final answer
    x = 7,003.85

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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.