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Finding the Fourth Proportional to 9,022.68, 13,532.16 and 3,474.12

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Solution

The fourth proportional to 9,022.68, 13,532.16 and 3,474.12 is: 5,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.68 : 13,532.16 = 3,474.12 : x
  2. Step 2: Convert to fraction form
    9,022.68/13,532.16 = 3,474.12/x
  3. Step 3: Cross multiply
    9,022.68x = 13,532.16 × 3,474.12
  4. Step 4: Simplify right side
    9,022.68x = 47,012,347.70
  5. Step 5: Solve for x
    x = 47,012,347.70/9,022.68
  6. Step 6: Final answer
    x = 5,210.46

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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.