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Finding the Fourth Proportional to 9,401.88, 12,971.64 and 5,422.48

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Solution

The fourth proportional to 9,401.88, 12,971.64 and 5,422.48 is: 7,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.88 : 12,971.64 = 5,422.48 : x
  2. Step 2: Convert to fraction form
    9,401.88/12,971.64 = 5,422.48/x
  3. Step 3: Cross multiply
    9,401.88x = 12,971.64 × 5,422.48
  4. Step 4: Simplify right side
    9,401.88x = 70,338,458.47
  5. Step 5: Solve for x
    x = 70,338,458.47/9,401.88
  6. Step 6: Final answer
    x = 7,481.32

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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.