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Finding the Fourth Proportional to 9,302.33, 12,799.13 and 8,039.34

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Solution

The fourth proportional to 9,302.33, 12,799.13 and 8,039.34 is: 11,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.33 : 12,799.13 = 8,039.34 : x
  2. Step 2: Convert to fraction form
    9,302.33/12,799.13 = 8,039.34/x
  3. Step 3: Cross multiply
    9,302.33x = 12,799.13 × 8,039.34
  4. Step 4: Simplify right side
    9,302.33x = 102,896,517.58
  5. Step 5: Solve for x
    x = 102,896,517.58/9,302.33
  6. Step 6: Final answer
    x = 11,061.38

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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.