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Finding the Fourth Proportional to 9,634.88, 13,297.22 and 5,443.40

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Solution

The fourth proportional to 9,634.88, 13,297.22 and 5,443.40 is: 7,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.88 : 13,297.22 = 5,443.40 : x
  2. Step 2: Convert to fraction form
    9,634.88/13,297.22 = 5,443.40/x
  3. Step 3: Cross multiply
    9,634.88x = 13,297.22 × 5,443.40
  4. Step 4: Simplify right side
    9,634.88x = 72,381,993.64
  5. Step 5: Solve for x
    x = 72,381,993.64/9,634.88
  6. Step 6: Final answer
    x = 7,512.50

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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.