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Finding the Fourth Proportional to 9,296.20, 13,955.10 and 9,231.40

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Solution

The fourth proportional to 9,296.20, 13,955.10 and 9,231.40 is: 13,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.20 : 13,955.10 = 9,231.40 : x
  2. Step 2: Convert to fraction form
    9,296.20/13,955.10 = 9,231.40/x
  3. Step 3: Cross multiply
    9,296.20x = 13,955.10 × 9,231.40
  4. Step 4: Simplify right side
    9,296.20x = 128,825,110.14
  5. Step 5: Solve for x
    x = 128,825,110.14/9,296.20
  6. Step 6: Final answer
    x = 13,857.82

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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.