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Finding the Fourth Proportional to 9,447.65, 13,037.24 and 5,198.01

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Solution

The fourth proportional to 9,447.65, 13,037.24 and 5,198.01 is: 7,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.65 : 13,037.24 = 5,198.01 : x
  2. Step 2: Convert to fraction form
    9,447.65/13,037.24 = 5,198.01/x
  3. Step 3: Cross multiply
    9,447.65x = 13,037.24 × 5,198.01
  4. Step 4: Simplify right side
    9,447.65x = 67,767,677.90
  5. Step 5: Solve for x
    x = 67,767,677.90/9,447.65
  6. Step 6: Final answer
    x = 7,172.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.