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Finding the Fourth Proportional to 6,909.86, 10,352.39 and 4,200.13

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Solution

The fourth proportional to 6,909.86, 10,352.39 and 4,200.13 is: 6,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.86 : 10,352.39 = 4,200.13 : x
  2. Step 2: Convert to fraction form
    6,909.86/10,352.39 = 4,200.13/x
  3. Step 3: Cross multiply
    6,909.86x = 10,352.39 × 4,200.13
  4. Step 4: Simplify right side
    6,909.86x = 43,481,332.05
  5. Step 5: Solve for x
    x = 43,481,332.05/6,909.86
  6. Step 6: Final answer
    x = 6,292.65

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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.