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Finding the Fourth Proportional to 9,122.94, 13,684.50 and 5,224.68

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Solution

The fourth proportional to 9,122.94, 13,684.50 and 5,224.68 is: 7,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.94 : 13,684.50 = 5,224.68 : x
  2. Step 2: Convert to fraction form
    9,122.94/13,684.50 = 5,224.68/x
  3. Step 3: Cross multiply
    9,122.94x = 13,684.50 × 5,224.68
  4. Step 4: Simplify right side
    9,122.94x = 71,497,133.46
  5. Step 5: Solve for x
    x = 71,497,133.46/9,122.94
  6. Step 6: Final answer
    x = 7,837.07

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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.