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Finding the Fourth Proportional to 9,906.66, 13,675.47 and 5,927.01

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Solution

The fourth proportional to 9,906.66, 13,675.47 and 5,927.01 is: 8,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.66 : 13,675.47 = 5,927.01 : x
  2. Step 2: Convert to fraction form
    9,906.66/13,675.47 = 5,927.01/x
  3. Step 3: Cross multiply
    9,906.66x = 13,675.47 × 5,927.01
  4. Step 4: Simplify right side
    9,906.66x = 81,054,647.44
  5. Step 5: Solve for x
    x = 81,054,647.44/9,906.66
  6. Step 6: Final answer
    x = 8,181.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.