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Finding the Fourth Proportional to 6,663.14, 9,994.70 and 1,983.13

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Solution

The fourth proportional to 6,663.14, 9,994.70 and 1,983.13 is: 2,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.14 : 9,994.70 = 1,983.13 : x
  2. Step 2: Convert to fraction form
    6,663.14/9,994.70 = 1,983.13/x
  3. Step 3: Cross multiply
    6,663.14x = 9,994.70 × 1,983.13
  4. Step 4: Simplify right side
    6,663.14x = 19,820,789.41
  5. Step 5: Solve for x
    x = 19,820,789.41/6,663.14
  6. Step 6: Final answer
    x = 2,974.69

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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.