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Finding the Fourth Proportional to 9,407.29, 14,111.22 and 2,833.52

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Solution

The fourth proportional to 9,407.29, 14,111.22 and 2,833.52 is: 4,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.29 : 14,111.22 = 2,833.52 : x
  2. Step 2: Convert to fraction form
    9,407.29/14,111.22 = 2,833.52/x
  3. Step 3: Cross multiply
    9,407.29x = 14,111.22 × 2,833.52
  4. Step 4: Simplify right side
    9,407.29x = 39,984,424.09
  5. Step 5: Solve for x
    x = 39,984,424.09/9,407.29
  6. Step 6: Final answer
    x = 4,250.37

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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.