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Finding the Fourth Proportional to 9,407.54, 14,111.42 and 2,833.79

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Solution

The fourth proportional to 9,407.54, 14,111.42 and 2,833.79 is: 4,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.54 : 14,111.42 = 2,833.79 : x
  2. Step 2: Convert to fraction form
    9,407.54/14,111.42 = 2,833.79/x
  3. Step 3: Cross multiply
    9,407.54x = 14,111.42 × 2,833.79
  4. Step 4: Simplify right side
    9,407.54x = 39,988,716.16
  5. Step 5: Solve for x
    x = 39,988,716.16/9,407.54
  6. Step 6: Final answer
    x = 4,250.71

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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.