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Finding the Fourth Proportional to 9,567.42, 13,204.26 and 5,375.67

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Solution

The fourth proportional to 9,567.42, 13,204.26 and 5,375.67 is: 7,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.42 : 13,204.26 = 5,375.67 : x
  2. Step 2: Convert to fraction form
    9,567.42/13,204.26 = 5,375.67/x
  3. Step 3: Cross multiply
    9,567.42x = 13,204.26 × 5,375.67
  4. Step 4: Simplify right side
    9,567.42x = 70,981,744.35
  5. Step 5: Solve for x
    x = 70,981,744.35/9,567.42
  6. Step 6: Final answer
    x = 7,419.11

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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.