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Finding the Fourth Proportional to 9,022.16, 13,529.65 and 3,472.42

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Solution

The fourth proportional to 9,022.16, 13,529.65 and 3,472.42 is: 5,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.16 : 13,529.65 = 3,472.42 : x
  2. Step 2: Convert to fraction form
    9,022.16/13,529.65 = 3,472.42/x
  3. Step 3: Cross multiply
    9,022.16x = 13,529.65 × 3,472.42
  4. Step 4: Simplify right side
    9,022.16x = 46,980,584.75
  5. Step 5: Solve for x
    x = 46,980,584.75/9,022.16
  6. Step 6: Final answer
    x = 5,207.24

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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.