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Finding the Fourth Proportional to 9,891.25, 14,836.83 and 4,047.86

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Solution

The fourth proportional to 9,891.25, 14,836.83 and 4,047.86 is: 6,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.25 : 14,836.83 = 4,047.86 : x
  2. Step 2: Convert to fraction form
    9,891.25/14,836.83 = 4,047.86/x
  3. Step 3: Cross multiply
    9,891.25x = 14,836.83 × 4,047.86
  4. Step 4: Simplify right side
    9,891.25x = 60,057,336.50
  5. Step 5: Solve for x
    x = 60,057,336.50/9,891.25
  6. Step 6: Final answer
    x = 6,071.77

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Why These Related Problems?

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