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Finding the Fourth Proportional to 6,631.40, 9,150.18 and 4,114.12

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Solution

The fourth proportional to 6,631.40, 9,150.18 and 4,114.12 is: 5,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.40 : 9,150.18 = 4,114.12 : x
  2. Step 2: Convert to fraction form
    6,631.40/9,150.18 = 4,114.12/x
  3. Step 3: Cross multiply
    6,631.40x = 9,150.18 × 4,114.12
  4. Step 4: Simplify right side
    6,631.40x = 37,644,938.54
  5. Step 5: Solve for x
    x = 37,644,938.54/6,631.40
  6. Step 6: Final answer
    x = 5,676.77

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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.