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Finding the Fourth Proportional to 9,502.26, 13,114.73 and 5,525.70

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Solution

The fourth proportional to 9,502.26, 13,114.73 and 5,525.70 is: 7,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.26 : 13,114.73 = 5,525.70 : x
  2. Step 2: Convert to fraction form
    9,502.26/13,114.73 = 5,525.70/x
  3. Step 3: Cross multiply
    9,502.26x = 13,114.73 × 5,525.70
  4. Step 4: Simplify right side
    9,502.26x = 72,468,063.56
  5. Step 5: Solve for x
    x = 72,468,063.56/9,502.26
  6. Step 6: Final answer
    x = 7,626.40

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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.