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Finding the Fourth Proportional to 9,104.11, 13,656.98 and 3,908.77

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Solution

The fourth proportional to 9,104.11, 13,656.98 and 3,908.77 is: 5,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.11 : 13,656.98 = 3,908.77 : x
  2. Step 2: Convert to fraction form
    9,104.11/13,656.98 = 3,908.77/x
  3. Step 3: Cross multiply
    9,104.11x = 13,656.98 × 3,908.77
  4. Step 4: Simplify right side
    9,104.11x = 53,381,974.17
  5. Step 5: Solve for x
    x = 53,381,974.17/9,104.11
  6. Step 6: Final answer
    x = 5,863.50

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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.