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Finding the Fourth Proportional to 9,216.59, 13,824.81 and 2,291.09

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Solution

The fourth proportional to 9,216.59, 13,824.81 and 2,291.09 is: 3,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.59 : 13,824.81 = 2,291.09 : x
  2. Step 2: Convert to fraction form
    9,216.59/13,824.81 = 2,291.09/x
  3. Step 3: Cross multiply
    9,216.59x = 13,824.81 × 2,291.09
  4. Step 4: Simplify right side
    9,216.59x = 31,673,814.82
  5. Step 5: Solve for x
    x = 31,673,814.82/9,216.59
  6. Step 6: Final answer
    x = 3,436.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.