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Finding the Fourth Proportional to 9,130.31, 13,694.15 and 2,467.20

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Solution

The fourth proportional to 9,130.31, 13,694.15 and 2,467.20 is: 3,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.31 : 13,694.15 = 2,467.20 : x
  2. Step 2: Convert to fraction form
    9,130.31/13,694.15 = 2,467.20/x
  3. Step 3: Cross multiply
    9,130.31x = 13,694.15 × 2,467.20
  4. Step 4: Simplify right side
    9,130.31x = 33,786,187.33
  5. Step 5: Solve for x
    x = 33,786,187.33/9,130.31
  6. Step 6: Final answer
    x = 3,700.44

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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.