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Finding the Fourth Proportional to 9,205.70, 13,819.35 and 9,140.90

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Solution

The fourth proportional to 9,205.70, 13,819.35 and 9,140.90 is: 13,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.70 : 13,819.35 = 9,140.90 : x
  2. Step 2: Convert to fraction form
    9,205.70/13,819.35 = 9,140.90/x
  3. Step 3: Cross multiply
    9,205.70x = 13,819.35 × 9,140.90
  4. Step 4: Simplify right side
    9,205.70x = 126,321,296.42
  5. Step 5: Solve for x
    x = 126,321,296.42/9,205.70
  6. Step 6: Final answer
    x = 13,722.07

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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.