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Finding the Fourth Proportional to 9,906.36, 14,849.82 and 6,395.82

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Solution

The fourth proportional to 9,906.36, 14,849.82 and 6,395.82 is: 9,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.36 : 14,849.82 = 6,395.82 : x
  2. Step 2: Convert to fraction form
    9,906.36/14,849.82 = 6,395.82/x
  3. Step 3: Cross multiply
    9,906.36x = 14,849.82 × 6,395.82
  4. Step 4: Simplify right side
    9,906.36x = 94,976,775.75
  5. Step 5: Solve for x
    x = 94,976,775.75/9,906.36
  6. Step 6: Final answer
    x = 9,587.45

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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.