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Finding the Fourth Proportional to 9,542.86, 13,173.27 and 8,945.08

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Solution

The fourth proportional to 9,542.86, 13,173.27 and 8,945.08 is: 12,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.86 : 13,173.27 = 8,945.08 : x
  2. Step 2: Convert to fraction form
    9,542.86/13,173.27 = 8,945.08/x
  3. Step 3: Cross multiply
    9,542.86x = 13,173.27 × 8,945.08
  4. Step 4: Simplify right side
    9,542.86x = 117,835,954.01
  5. Step 5: Solve for x
    x = 117,835,954.01/9,542.86
  6. Step 6: Final answer
    x = 12,348.08

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1.5x scale

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.