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Finding the Fourth Proportional to 9,904.98, 14,843.25 and 5,957.85

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Solution

The fourth proportional to 9,904.98, 14,843.25 and 5,957.85 is: 8,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.98 : 14,843.25 = 5,957.85 : x
  2. Step 2: Convert to fraction form
    9,904.98/14,843.25 = 5,957.85/x
  3. Step 3: Cross multiply
    9,904.98x = 14,843.25 × 5,957.85
  4. Step 4: Simplify right side
    9,904.98x = 88,433,857.01
  5. Step 5: Solve for x
    x = 88,433,857.01/9,904.98
  6. Step 6: Final answer
    x = 8,928.22

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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.