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Finding the Fourth Proportional to 6,200.38, 9,307.52 and 4,124.46

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Solution

The fourth proportional to 6,200.38, 9,307.52 and 4,124.46 is: 6,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.38 : 9,307.52 = 4,124.46 : x
  2. Step 2: Convert to fraction form
    6,200.38/9,307.52 = 4,124.46/x
  3. Step 3: Cross multiply
    6,200.38x = 9,307.52 × 4,124.46
  4. Step 4: Simplify right side
    6,200.38x = 38,388,493.94
  5. Step 5: Solve for x
    x = 38,388,493.94/6,200.38
  6. Step 6: Final answer
    x = 6,191.31

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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.