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Finding the Fourth Proportional to 9,447.74, 13,037.56 and 5,198.78

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Solution

The fourth proportional to 9,447.74, 13,037.56 and 5,198.78 is: 7,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.74 : 13,037.56 = 5,198.78 : x
  2. Step 2: Convert to fraction form
    9,447.74/13,037.56 = 5,198.78/x
  3. Step 3: Cross multiply
    9,447.74x = 13,037.56 × 5,198.78
  4. Step 4: Simplify right side
    9,447.74x = 67,779,406.18
  5. Step 5: Solve for x
    x = 67,779,406.18/9,447.74
  6. Step 6: Final answer
    x = 7,174.14

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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.