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Finding the Fourth Proportional to 9,864.92, 14,798.35 and 3,940.41

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Solution

The fourth proportional to 9,864.92, 14,798.35 and 3,940.41 is: 5,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.92 : 14,798.35 = 3,940.41 : x
  2. Step 2: Convert to fraction form
    9,864.92/14,798.35 = 3,940.41/x
  3. Step 3: Cross multiply
    9,864.92x = 14,798.35 × 3,940.41
  4. Step 4: Simplify right side
    9,864.92x = 58,311,479.72
  5. Step 5: Solve for x
    x = 58,311,479.72/9,864.92
  6. Step 6: Final answer
    x = 5,910.99

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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.