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Finding the Fourth Proportional to 9,391.94, 12,958.73 and 5,614.46

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Solution

The fourth proportional to 9,391.94, 12,958.73 and 5,614.46 is: 7,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.94 : 12,958.73 = 5,614.46 : x
  2. Step 2: Convert to fraction form
    9,391.94/12,958.73 = 5,614.46/x
  3. Step 3: Cross multiply
    9,391.94x = 12,958.73 × 5,614.46
  4. Step 4: Simplify right side
    9,391.94x = 72,756,352.49
  5. Step 5: Solve for x
    x = 72,756,352.49/9,391.94
  6. Step 6: Final answer
    x = 7,746.68

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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.