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Finding the Fourth Proportional to 9,105.84, 13,656.06 and 3,910.50

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Solution

The fourth proportional to 9,105.84, 13,656.06 and 3,910.50 is: 5,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.84 : 13,656.06 = 3,910.50 : x
  2. Step 2: Convert to fraction form
    9,105.84/13,656.06 = 3,910.50/x
  3. Step 3: Cross multiply
    9,105.84x = 13,656.06 × 3,910.50
  4. Step 4: Simplify right side
    9,105.84x = 53,402,022.63
  5. Step 5: Solve for x
    x = 53,402,022.63/9,105.84
  6. Step 6: Final answer
    x = 5,864.59

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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.