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Finding the Fourth Proportional to 9,297.88, 13,946.83 and 5,837.56

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Solution

The fourth proportional to 9,297.88, 13,946.83 and 5,837.56 is: 8,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.88 : 13,946.83 = 5,837.56 : x
  2. Step 2: Convert to fraction form
    9,297.88/13,946.83 = 5,837.56/x
  3. Step 3: Cross multiply
    9,297.88x = 13,946.83 × 5,837.56
  4. Step 4: Simplify right side
    9,297.88x = 81,415,427.75
  5. Step 5: Solve for x
    x = 81,415,427.75/9,297.88
  6. Step 6: Final answer
    x = 8,756.34

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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.