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Finding the Fourth Proportional to 6,224.21, 9,337.89 and 1,841.66

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Solution

The fourth proportional to 6,224.21, 9,337.89 and 1,841.66 is: 2,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.21 : 9,337.89 = 1,841.66 : x
  2. Step 2: Convert to fraction form
    6,224.21/9,337.89 = 1,841.66/x
  3. Step 3: Cross multiply
    6,224.21x = 9,337.89 × 1,841.66
  4. Step 4: Simplify right side
    6,224.21x = 17,197,171.81
  5. Step 5: Solve for x
    x = 17,197,171.81/6,224.21
  6. Step 6: Final answer
    x = 2,762.95

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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.