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Finding the Fourth Proportional to 9,107.84, 13,659.06 and 3,912.50

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Solution

The fourth proportional to 9,107.84, 13,659.06 and 3,912.50 is: 5,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.84 : 13,659.06 = 3,912.50 : x
  2. Step 2: Convert to fraction form
    9,107.84/13,659.06 = 3,912.50/x
  3. Step 3: Cross multiply
    9,107.84x = 13,659.06 × 3,912.50
  4. Step 4: Simplify right side
    9,107.84x = 53,441,072.25
  5. Step 5: Solve for x
    x = 53,441,072.25/9,107.84
  6. Step 6: Final answer
    x = 5,867.59

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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.