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Finding the Fourth Proportional to 6,404.77, 8,840.24 and 4,172.21

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Solution

The fourth proportional to 6,404.77, 8,840.24 and 4,172.21 is: 5,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.77 : 8,840.24 = 4,172.21 : x
  2. Step 2: Convert to fraction form
    6,404.77/8,840.24 = 4,172.21/x
  3. Step 3: Cross multiply
    6,404.77x = 8,840.24 × 4,172.21
  4. Step 4: Simplify right side
    6,404.77x = 36,883,337.73
  5. Step 5: Solve for x
    x = 36,883,337.73/6,404.77
  6. Step 6: Final answer
    x = 5,758.73

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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.