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Finding the Fourth Proportional to 9,382.11, 12,945.04 and 5,842.81

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Solution

The fourth proportional to 9,382.11, 12,945.04 and 5,842.81 is: 8,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.11 : 12,945.04 = 5,842.81 : x
  2. Step 2: Convert to fraction form
    9,382.11/12,945.04 = 5,842.81/x
  3. Step 3: Cross multiply
    9,382.11x = 12,945.04 × 5,842.81
  4. Step 4: Simplify right side
    9,382.11x = 75,635,409.16
  5. Step 5: Solve for x
    x = 75,635,409.16/9,382.11
  6. Step 6: Final answer
    x = 8,061.66

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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.