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Finding the Fourth Proportional to 9,107.84, 13,659.60 and 4,174.40

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Solution

The fourth proportional to 9,107.84, 13,659.60 and 4,174.40 is: 6,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.84 : 13,659.60 = 4,174.40 : x
  2. Step 2: Convert to fraction form
    9,107.84/13,659.60 = 4,174.40/x
  3. Step 3: Cross multiply
    9,107.84x = 13,659.60 × 4,174.40
  4. Step 4: Simplify right side
    9,107.84x = 57,020,634.24
  5. Step 5: Solve for x
    x = 57,020,634.24/9,107.84
  6. Step 6: Final answer
    x = 6,260.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.