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Finding the Fourth Proportional to 9,124.92, 13,678.07 and 4,198.23

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Solution

The fourth proportional to 9,124.92, 13,678.07 and 4,198.23 is: 6,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.92 : 13,678.07 = 4,198.23 : x
  2. Step 2: Convert to fraction form
    9,124.92/13,678.07 = 4,198.23/x
  3. Step 3: Cross multiply
    9,124.92x = 13,678.07 × 4,198.23
  4. Step 4: Simplify right side
    9,124.92x = 57,423,662.82
  5. Step 5: Solve for x
    x = 57,423,662.82/9,124.92
  6. Step 6: Final answer
    x = 6,293.06

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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.