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Finding the Fourth Proportional to 9,964.36, 14,955.77 and 5,037.47

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Solution

The fourth proportional to 9,964.36, 14,955.77 and 5,037.47 is: 7,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.36 : 14,955.77 = 5,037.47 : x
  2. Step 2: Convert to fraction form
    9,964.36/14,955.77 = 5,037.47/x
  3. Step 3: Cross multiply
    9,964.36x = 14,955.77 × 5,037.47
  4. Step 4: Simplify right side
    9,964.36x = 75,339,167.92
  5. Step 5: Solve for x
    x = 75,339,167.92/9,964.36
  6. Step 6: Final answer
    x = 7,560.87

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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.