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Finding the Fourth Proportional to 9,074.35, 13,595.46 and 3,797.74

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Solution

The fourth proportional to 9,074.35, 13,595.46 and 3,797.74 is: 5,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.35 : 13,595.46 = 3,797.74 : x
  2. Step 2: Convert to fraction form
    9,074.35/13,595.46 = 3,797.74/x
  3. Step 3: Cross multiply
    9,074.35x = 13,595.46 × 3,797.74
  4. Step 4: Simplify right side
    9,074.35x = 51,632,022.26
  5. Step 5: Solve for x
    x = 51,632,022.26/9,074.35
  6. Step 6: Final answer
    x = 5,689.89

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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.