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Finding the Fourth Proportional to 9,302.02, 12,833.08 and 5,943.97

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Solution

The fourth proportional to 9,302.02, 12,833.08 and 5,943.97 is: 8,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.02 : 12,833.08 = 5,943.97 : x
  2. Step 2: Convert to fraction form
    9,302.02/12,833.08 = 5,943.97/x
  3. Step 3: Cross multiply
    9,302.02x = 12,833.08 × 5,943.97
  4. Step 4: Simplify right side
    9,302.02x = 76,279,442.53
  5. Step 5: Solve for x
    x = 76,279,442.53/9,302.02
  6. Step 6: Final answer
    x = 8,200.31

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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.