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Finding the Fourth Proportional to 9,977.53, 14,964.87 and 3,736.69

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Solution

The fourth proportional to 9,977.53, 14,964.87 and 3,736.69 is: 5,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.53 : 14,964.87 = 3,736.69 : x
  2. Step 2: Convert to fraction form
    9,977.53/14,964.87 = 3,736.69/x
  3. Step 3: Cross multiply
    9,977.53x = 14,964.87 × 3,736.69
  4. Step 4: Simplify right side
    9,977.53x = 55,919,080.08
  5. Step 5: Solve for x
    x = 55,919,080.08/9,977.53
  6. Step 6: Final answer
    x = 5,604.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.