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Finding the Fourth Proportional to 9,797.78, 13,520.83 and 5,548.72

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Solution

The fourth proportional to 9,797.78, 13,520.83 and 5,548.72 is: 7,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.78 : 13,520.83 = 5,548.72 : x
  2. Step 2: Convert to fraction form
    9,797.78/13,520.83 = 5,548.72/x
  3. Step 3: Cross multiply
    9,797.78x = 13,520.83 × 5,548.72
  4. Step 4: Simplify right side
    9,797.78x = 75,023,299.84
  5. Step 5: Solve for x
    x = 75,023,299.84/9,797.78
  6. Step 6: Final answer
    x = 7,657.17

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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.