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Finding the Fourth Proportional to 9,401.43, 12,974.34 and 5,368.92

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Solution

The fourth proportional to 9,401.43, 12,974.34 and 5,368.92 is: 7,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.43 : 12,974.34 = 5,368.92 : x
  2. Step 2: Convert to fraction form
    9,401.43/12,974.34 = 5,368.92/x
  3. Step 3: Cross multiply
    9,401.43x = 12,974.34 × 5,368.92
  4. Step 4: Simplify right side
    9,401.43x = 69,658,171.28
  5. Step 5: Solve for x
    x = 69,658,171.28/9,401.43
  6. Step 6: Final answer
    x = 7,409.31

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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.