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Finding the Fourth Proportional to 9,567.24, 13,202.70 and 5,375.46

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Solution

The fourth proportional to 9,567.24, 13,202.70 and 5,375.46 is: 7,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.24 : 13,202.70 = 5,375.46 : x
  2. Step 2: Convert to fraction form
    9,567.24/13,202.70 = 5,375.46/x
  3. Step 3: Cross multiply
    9,567.24x = 13,202.70 × 5,375.46
  4. Step 4: Simplify right side
    9,567.24x = 70,970,585.74
  5. Step 5: Solve for x
    x = 70,970,585.74/9,567.24
  6. Step 6: Final answer
    x = 7,418.08

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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.