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Finding the Fourth Proportional to 6,404.40, 9,611.28 and 4,217.76

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Solution

The fourth proportional to 6,404.40, 9,611.28 and 4,217.76 is: 6,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.40 : 9,611.28 = 4,217.76 : x
  2. Step 2: Convert to fraction form
    6,404.40/9,611.28 = 4,217.76/x
  3. Step 3: Cross multiply
    6,404.40x = 9,611.28 × 4,217.76
  4. Step 4: Simplify right side
    6,404.40x = 40,538,072.33
  5. Step 5: Solve for x
    x = 40,538,072.33/6,404.40
  6. Step 6: Final answer
    x = 6,329.72

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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.