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Finding the Fourth Proportional to 9,614.32, 13,267.74 and 5,422.54

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Solution

The fourth proportional to 9,614.32, 13,267.74 and 5,422.54 is: 7,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.32 : 13,267.74 = 5,422.54 : x
  2. Step 2: Convert to fraction form
    9,614.32/13,267.74 = 5,422.54/x
  3. Step 3: Cross multiply
    9,614.32x = 13,267.74 × 5,422.54
  4. Step 4: Simplify right side
    9,614.32x = 71,944,850.86
  5. Step 5: Solve for x
    x = 71,944,850.86/9,614.32
  6. Step 6: Final answer
    x = 7,483.09

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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.