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Finding the Fourth Proportional to 9,294, 12,827.34 and 5,568

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Solution

The fourth proportional to 9,294, 12,827.34 and 5,568 is: 7,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294 : 12,827.34 = 5,568 : x
  2. Step 2: Convert to fraction form
    9,294/12,827.34 = 5,568/x
  3. Step 3: Cross multiply
    9,294x = 12,827.34 × 5,568
  4. Step 4: Simplify right side
    9,294x = 71,422,629.12
  5. Step 5: Solve for x
    x = 71,422,629.12/9,294
  6. Step 6: Final answer
    x = 7,684.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.