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Finding the Fourth Proportional to 9,744.54, 13,442.67 and 9,367.29

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Solution

The fourth proportional to 9,744.54, 13,442.67 and 9,367.29 is: 12,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.54 : 13,442.67 = 9,367.29 : x
  2. Step 2: Convert to fraction form
    9,744.54/13,442.67 = 9,367.29/x
  3. Step 3: Cross multiply
    9,744.54x = 13,442.67 × 9,367.29
  4. Step 4: Simplify right side
    9,744.54x = 125,921,388.26
  5. Step 5: Solve for x
    x = 125,921,388.26/9,744.54
  6. Step 6: Final answer
    x = 12,922.25

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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.