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Finding the Fourth Proportional to 9,037.74, 13,546.20 and 3,488.64

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Solution

The fourth proportional to 9,037.74, 13,546.20 and 3,488.64 is: 5,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.74 : 13,546.20 = 3,488.64 : x
  2. Step 2: Convert to fraction form
    9,037.74/13,546.20 = 3,488.64/x
  3. Step 3: Cross multiply
    9,037.74x = 13,546.20 × 3,488.64
  4. Step 4: Simplify right side
    9,037.74x = 47,257,815.17
  5. Step 5: Solve for x
    x = 47,257,815.17/9,037.74
  6. Step 6: Final answer
    x = 5,228.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.