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Finding the Fourth Proportional to 9,994.54, 14,988.77 and 4,149.78

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Solution

The fourth proportional to 9,994.54, 14,988.77 and 4,149.78 is: 6,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.54 : 14,988.77 = 4,149.78 : x
  2. Step 2: Convert to fraction form
    9,994.54/14,988.77 = 4,149.78/x
  3. Step 3: Cross multiply
    9,994.54x = 14,988.77 × 4,149.78
  4. Step 4: Simplify right side
    9,994.54x = 62,200,097.97
  5. Step 5: Solve for x
    x = 62,200,097.97/9,994.54
  6. Step 6: Final answer
    x = 6,223.41

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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.