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Finding the Fourth Proportional to 6,150.34, 9,225.39 and 3,685.84

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Solution

The fourth proportional to 6,150.34, 9,225.39 and 3,685.84 is: 5,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.34 : 9,225.39 = 3,685.84 : x
  2. Step 2: Convert to fraction form
    6,150.34/9,225.39 = 3,685.84/x
  3. Step 3: Cross multiply
    6,150.34x = 9,225.39 × 3,685.84
  4. Step 4: Simplify right side
    6,150.34x = 34,003,311.48
  5. Step 5: Solve for x
    x = 34,003,311.48/6,150.34
  6. Step 6: Final answer
    x = 5,528.69

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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.