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Finding the Fourth Proportional to 9,302.33, 12,827.36 and 5,945.29

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Solution

The fourth proportional to 9,302.33, 12,827.36 and 5,945.29 is: 8,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.33 : 12,827.36 = 5,945.29 : x
  2. Step 2: Convert to fraction form
    9,302.33/12,827.36 = 5,945.29/x
  3. Step 3: Cross multiply
    9,302.33x = 12,827.36 × 5,945.29
  4. Step 4: Simplify right side
    9,302.33x = 76,262,357.93
  5. Step 5: Solve for x
    x = 76,262,357.93/9,302.33
  6. Step 6: Final answer
    x = 8,198.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.