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Finding the Fourth Proportional to 6,611.64, 9,923.94 and 3,496.38

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Solution

The fourth proportional to 6,611.64, 9,923.94 and 3,496.38 is: 5,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.64 : 9,923.94 = 3,496.38 : x
  2. Step 2: Convert to fraction form
    6,611.64/9,923.94 = 3,496.38/x
  3. Step 3: Cross multiply
    6,611.64x = 9,923.94 × 3,496.38
  4. Step 4: Simplify right side
    6,611.64x = 34,697,865.34
  5. Step 5: Solve for x
    x = 34,697,865.34/6,611.64
  6. Step 6: Final answer
    x = 5,248.00

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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.