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Finding the Fourth Proportional to 9,229.36, 13,854.07 and 8,565.97

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Solution

The fourth proportional to 9,229.36, 13,854.07 and 8,565.97 is: 12,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.36 : 13,854.07 = 8,565.97 : x
  2. Step 2: Convert to fraction form
    9,229.36/13,854.07 = 8,565.97/x
  3. Step 3: Cross multiply
    9,229.36x = 13,854.07 × 8,565.97
  4. Step 4: Simplify right side
    9,229.36x = 118,673,548.00
  5. Step 5: Solve for x
    x = 118,673,548.00/9,229.36
  6. Step 6: Final answer
    x = 12,858.26

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1.5x scale

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.