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Finding the Fourth Proportional to 6,224.14, 9,332.31 and 2,063.06

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Solution

The fourth proportional to 6,224.14, 9,332.31 and 2,063.06 is: 3,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.14 : 9,332.31 = 2,063.06 : x
  2. Step 2: Convert to fraction form
    6,224.14/9,332.31 = 2,063.06/x
  3. Step 3: Cross multiply
    6,224.14x = 9,332.31 × 2,063.06
  4. Step 4: Simplify right side
    6,224.14x = 19,253,068.81
  5. Step 5: Solve for x
    x = 19,253,068.81/6,224.14
  6. Step 6: Final answer
    x = 3,093.29

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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.