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Finding the Fourth Proportional to 6,133.85, 9,191.96 and 3,495.88

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Solution

The fourth proportional to 6,133.85, 9,191.96 and 3,495.88 is: 5,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.85 : 9,191.96 = 3,495.88 : x
  2. Step 2: Convert to fraction form
    6,133.85/9,191.96 = 3,495.88/x
  3. Step 3: Cross multiply
    6,133.85x = 9,191.96 × 3,495.88
  4. Step 4: Simplify right side
    6,133.85x = 32,133,989.12
  5. Step 5: Solve for x
    x = 32,133,989.12/6,133.85
  6. Step 6: Final answer
    x = 5,238.80

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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.