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Finding the Fourth Proportional to 6,142.64, 9,205.14 and 3,504.67

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Solution

The fourth proportional to 6,142.64, 9,205.14 and 3,504.67 is: 5,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.64 : 9,205.14 = 3,504.67 : x
  2. Step 2: Convert to fraction form
    6,142.64/9,205.14 = 3,504.67/x
  3. Step 3: Cross multiply
    6,142.64x = 9,205.14 × 3,504.67
  4. Step 4: Simplify right side
    6,142.64x = 32,260,968.13
  5. Step 5: Solve for x
    x = 32,260,968.13/6,142.64
  6. Step 6: Final answer
    x = 5,251.98

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Why These Related Problems?

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