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Finding the Fourth Proportional to 9,106.92, 13,653.45 and 3,843.54

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Solution

The fourth proportional to 9,106.92, 13,653.45 and 3,843.54 is: 5,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.92 : 13,653.45 = 3,843.54 : x
  2. Step 2: Convert to fraction form
    9,106.92/13,653.45 = 3,843.54/x
  3. Step 3: Cross multiply
    9,106.92x = 13,653.45 × 3,843.54
  4. Step 4: Simplify right side
    9,106.92x = 52,477,581.21
  5. Step 5: Solve for x
    x = 52,477,581.21/9,106.92
  6. Step 6: Final answer
    x = 5,762.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.