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Finding the Fourth Proportional to 6,837.67, 10,202.83 and 6,419.71

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Solution

The fourth proportional to 6,837.67, 10,202.83 and 6,419.71 is: 9,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.67 : 10,202.83 = 6,419.71 : x
  2. Step 2: Convert to fraction form
    6,837.67/10,202.83 = 6,419.71/x
  3. Step 3: Cross multiply
    6,837.67x = 10,202.83 × 6,419.71
  4. Step 4: Simplify right side
    6,837.67x = 65,499,158.77
  5. Step 5: Solve for x
    x = 65,499,158.77/6,837.67
  6. Step 6: Final answer
    x = 9,579.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.