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Finding the Fourth Proportional to 9,122.15, 13,684.44 and 4,061.97

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Solution

The fourth proportional to 9,122.15, 13,684.44 and 4,061.97 is: 6,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.15 : 13,684.44 = 4,061.97 : x
  2. Step 2: Convert to fraction form
    9,122.15/13,684.44 = 4,061.97/x
  3. Step 3: Cross multiply
    9,122.15x = 13,684.44 × 4,061.97
  4. Step 4: Simplify right side
    9,122.15x = 55,585,784.75
  5. Step 5: Solve for x
    x = 55,585,784.75/9,122.15
  6. Step 6: Final answer
    x = 6,093.50

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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.