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Finding the Fourth Proportional to 9,335.82, 12,883.78 and 5,302.44

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Solution

The fourth proportional to 9,335.82, 12,883.78 and 5,302.44 is: 7,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.82 : 12,883.78 = 5,302.44 : x
  2. Step 2: Convert to fraction form
    9,335.82/12,883.78 = 5,302.44/x
  3. Step 3: Cross multiply
    9,335.82x = 12,883.78 × 5,302.44
  4. Step 4: Simplify right side
    9,335.82x = 68,315,470.42
  5. Step 5: Solve for x
    x = 68,315,470.42/9,335.82
  6. Step 6: Final answer
    x = 7,317.57

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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.