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Finding the Fourth Proportional to 6,683.30, 9,224.10 and 4,031.12

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Solution

The fourth proportional to 6,683.30, 9,224.10 and 4,031.12 is: 5,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.30 : 9,224.10 = 4,031.12 : x
  2. Step 2: Convert to fraction form
    6,683.30/9,224.10 = 4,031.12/x
  3. Step 3: Cross multiply
    6,683.30x = 9,224.10 × 4,031.12
  4. Step 4: Simplify right side
    6,683.30x = 37,183,453.99
  5. Step 5: Solve for x
    x = 37,183,453.99/6,683.30
  6. Step 6: Final answer
    x = 5,563.64

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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.