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Finding the Fourth Proportional to 9,037.47, 13,494.68 and 7,974.42

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Solution

The fourth proportional to 9,037.47, 13,494.68 and 7,974.42 is: 11,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.47 : 13,494.68 = 7,974.42 : x
  2. Step 2: Convert to fraction form
    9,037.47/13,494.68 = 7,974.42/x
  3. Step 3: Cross multiply
    9,037.47x = 13,494.68 × 7,974.42
  4. Step 4: Simplify right side
    9,037.47x = 107,612,246.09
  5. Step 5: Solve for x
    x = 107,612,246.09/9,037.47
  6. Step 6: Final answer
    x = 11,907.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.