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Finding the Fourth Proportional to 9,977.69, 14,966.96 and 3,736.07

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Solution

The fourth proportional to 9,977.69, 14,966.96 and 3,736.07 is: 5,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.69 : 14,966.96 = 3,736.07 : x
  2. Step 2: Convert to fraction form
    9,977.69/14,966.96 = 3,736.07/x
  3. Step 3: Cross multiply
    9,977.69x = 14,966.96 × 3,736.07
  4. Step 4: Simplify right side
    9,977.69x = 55,917,516.73
  5. Step 5: Solve for x
    x = 55,917,516.73/9,977.69
  6. Step 6: Final answer
    x = 5,604.26

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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.