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Finding the Fourth Proportional to 9,378.36, 12,941.82 and 5,398.92

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Solution

The fourth proportional to 9,378.36, 12,941.82 and 5,398.92 is: 7,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.36 : 12,941.82 = 5,398.92 : x
  2. Step 2: Convert to fraction form
    9,378.36/12,941.82 = 5,398.92/x
  3. Step 3: Cross multiply
    9,378.36x = 12,941.82 × 5,398.92
  4. Step 4: Simplify right side
    9,378.36x = 69,871,850.83
  5. Step 5: Solve for x
    x = 69,871,850.83/9,378.36
  6. Step 6: Final answer
    x = 7,450.33

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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.