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Finding the Fourth Proportional to 9,297.38, 13,946.08 and 5,837.06

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Solution

The fourth proportional to 9,297.38, 13,946.08 and 5,837.06 is: 8,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.38 : 13,946.08 = 5,837.06 : x
  2. Step 2: Convert to fraction form
    9,297.38/13,946.08 = 5,837.06/x
  3. Step 3: Cross multiply
    9,297.38x = 13,946.08 × 5,837.06
  4. Step 4: Simplify right side
    9,297.38x = 81,404,076.54
  5. Step 5: Solve for x
    x = 81,404,076.54/9,297.38
  6. Step 6: Final answer
    x = 8,755.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.