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Finding the Fourth Proportional to 6,607.64, 9,923.78 and 5,817.28

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Solution

The fourth proportional to 6,607.64, 9,923.78 and 5,817.28 is: 8,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.64 : 9,923.78 = 5,817.28 : x
  2. Step 2: Convert to fraction form
    6,607.64/9,923.78 = 5,817.28/x
  3. Step 3: Cross multiply
    6,607.64x = 9,923.78 × 5,817.28
  4. Step 4: Simplify right side
    6,607.64x = 57,729,406.92
  5. Step 5: Solve for x
    x = 57,729,406.92/6,607.64
  6. Step 6: Final answer
    x = 8,736.77

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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.