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Finding the Fourth Proportional to 9,750.17, 13,447.59 and 8,408.00

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Solution

The fourth proportional to 9,750.17, 13,447.59 and 8,408.00 is: 11,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.17 : 13,447.59 = 8,408.00 : x
  2. Step 2: Convert to fraction form
    9,750.17/13,447.59 = 8,408.00/x
  3. Step 3: Cross multiply
    9,750.17x = 13,447.59 × 8,408.00
  4. Step 4: Simplify right side
    9,750.17x = 113,067,338.81
  5. Step 5: Solve for x
    x = 113,067,338.81/9,750.17
  6. Step 6: Final answer
    x = 11,596.44

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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.