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Finding the Fourth Proportional to 9,883.97, 14,823.91 and 3,642.37

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Solution

The fourth proportional to 9,883.97, 14,823.91 and 3,642.37 is: 5,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.97 : 14,823.91 = 3,642.37 : x
  2. Step 2: Convert to fraction form
    9,883.97/14,823.91 = 3,642.37/x
  3. Step 3: Cross multiply
    9,883.97x = 14,823.91 × 3,642.37
  4. Step 4: Simplify right side
    9,883.97x = 53,994,132.56
  5. Step 5: Solve for x
    x = 53,994,132.56/9,883.97
  6. Step 6: Final answer
    x = 5,462.80

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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.