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Finding the Fourth Proportional to 6,624.21, 9,142.20 and 3,829.71

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Solution

The fourth proportional to 6,624.21, 9,142.20 and 3,829.71 is: 5,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.21 : 9,142.20 = 3,829.71 : x
  2. Step 2: Convert to fraction form
    6,624.21/9,142.20 = 3,829.71/x
  3. Step 3: Cross multiply
    6,624.21x = 9,142.20 × 3,829.71
  4. Step 4: Simplify right side
    6,624.21x = 35,011,974.76
  5. Step 5: Solve for x
    x = 35,011,974.76/6,624.21
  6. Step 6: Final answer
    x = 5,285.46

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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.