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Finding the Fourth Proportional to 9,401.42, 12,970.78 and 5,422.43

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Solution

The fourth proportional to 9,401.42, 12,970.78 and 5,422.43 is: 7,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.42 : 12,970.78 = 5,422.43 : x
  2. Step 2: Convert to fraction form
    9,401.42/12,970.78 = 5,422.43/x
  3. Step 3: Cross multiply
    9,401.42x = 12,970.78 × 5,422.43
  4. Step 4: Simplify right side
    9,401.42x = 70,333,146.60
  5. Step 5: Solve for x
    x = 70,333,146.60/9,401.42
  6. Step 6: Final answer
    x = 7,481.12

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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.