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Finding the Fourth Proportional to 9,148.15, 13,722.23 and 4,216.33

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Solution

The fourth proportional to 9,148.15, 13,722.23 and 4,216.33 is: 6,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.15 : 13,722.23 = 4,216.33 : x
  2. Step 2: Convert to fraction form
    9,148.15/13,722.23 = 4,216.33/x
  3. Step 3: Cross multiply
    9,148.15x = 13,722.23 × 4,216.33
  4. Step 4: Simplify right side
    9,148.15x = 57,857,450.02
  5. Step 5: Solve for x
    x = 57,857,450.02/9,148.15
  6. Step 6: Final answer
    x = 6,324.50

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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.