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Finding the Fourth Proportional to 9,352.94, 12,906.86 and 5,103.86

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Solution

The fourth proportional to 9,352.94, 12,906.86 and 5,103.86 is: 7,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.94 : 12,906.86 = 5,103.86 : x
  2. Step 2: Convert to fraction form
    9,352.94/12,906.86 = 5,103.86/x
  3. Step 3: Cross multiply
    9,352.94x = 12,906.86 × 5,103.86
  4. Step 4: Simplify right side
    9,352.94x = 65,874,806.48
  5. Step 5: Solve for x
    x = 65,874,806.48/9,352.94
  6. Step 6: Final answer
    x = 7,043.22

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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.