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Finding the Fourth Proportional to 9,651.56, 14,473.02 and 6,731.24

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Solution

The fourth proportional to 9,651.56, 14,473.02 and 6,731.24 is: 10,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.56 : 14,473.02 = 6,731.24 : x
  2. Step 2: Convert to fraction form
    9,651.56/14,473.02 = 6,731.24/x
  3. Step 3: Cross multiply
    9,651.56x = 14,473.02 × 6,731.24
  4. Step 4: Simplify right side
    9,651.56x = 97,421,371.14
  5. Step 5: Solve for x
    x = 97,421,371.14/9,651.56
  6. Step 6: Final answer
    x = 10,093.85

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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.