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Finding the Fourth Proportional to 9,942.88, 14,908.48 and 4,092.48

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Solution

The fourth proportional to 9,942.88, 14,908.48 and 4,092.48 is: 6,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.88 : 14,908.48 = 4,092.48 : x
  2. Step 2: Convert to fraction form
    9,942.88/14,908.48 = 4,092.48/x
  3. Step 3: Cross multiply
    9,942.88x = 14,908.48 × 4,092.48
  4. Step 4: Simplify right side
    9,942.88x = 61,012,656.23
  5. Step 5: Solve for x
    x = 61,012,656.23/9,942.88
  6. Step 6: Final answer
    x = 6,136.32

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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.