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Finding the Fourth Proportional to 9,145.83, 12,622.27 and 5,167.20

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Solution

The fourth proportional to 9,145.83, 12,622.27 and 5,167.20 is: 7,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.83 : 12,622.27 = 5,167.20 : x
  2. Step 2: Convert to fraction form
    9,145.83/12,622.27 = 5,167.20/x
  3. Step 3: Cross multiply
    9,145.83x = 12,622.27 × 5,167.20
  4. Step 4: Simplify right side
    9,145.83x = 65,221,793.54
  5. Step 5: Solve for x
    x = 65,221,793.54/9,145.83
  6. Step 6: Final answer
    x = 7,131.31

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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.