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Finding the Fourth Proportional to 9,994.92, 14,996.79 and 5,249.96

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Solution

The fourth proportional to 9,994.92, 14,996.79 and 5,249.96 is: 7,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.92 : 14,996.79 = 5,249.96 : x
  2. Step 2: Convert to fraction form
    9,994.92/14,996.79 = 5,249.96/x
  3. Step 3: Cross multiply
    9,994.92x = 14,996.79 × 5,249.96
  4. Step 4: Simplify right side
    9,994.92x = 78,732,547.63
  5. Step 5: Solve for x
    x = 78,732,547.63/9,994.92
  6. Step 6: Final answer
    x = 7,877.26

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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.