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Finding the Fourth Proportional to 9,303.82, 12,839.26 and 5,324.84

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Solution

The fourth proportional to 9,303.82, 12,839.26 and 5,324.84 is: 7,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.82 : 12,839.26 = 5,324.84 : x
  2. Step 2: Convert to fraction form
    9,303.82/12,839.26 = 5,324.84/x
  3. Step 3: Cross multiply
    9,303.82x = 12,839.26 × 5,324.84
  4. Step 4: Simplify right side
    9,303.82x = 68,367,005.22
  5. Step 5: Solve for x
    x = 68,367,005.22/9,303.82
  6. Step 6: Final answer
    x = 7,348.27

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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.