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Finding the Fourth Proportional to 9,542.13, 14,313.71 and 9,016.22

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Solution

The fourth proportional to 9,542.13, 14,313.71 and 9,016.22 is: 13,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.13 : 14,313.71 = 9,016.22 : x
  2. Step 2: Convert to fraction form
    9,542.13/14,313.71 = 9,016.22/x
  3. Step 3: Cross multiply
    9,542.13x = 14,313.71 × 9,016.22
  4. Step 4: Simplify right side
    9,542.13x = 129,055,558.38
  5. Step 5: Solve for x
    x = 129,055,558.38/9,542.13
  6. Step 6: Final answer
    x = 13,524.82

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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.