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Finding the Fourth Proportional to 6,431.91, 9,645.60 and 4,363.29

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Solution

The fourth proportional to 6,431.91, 9,645.60 and 4,363.29 is: 6,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.91 : 9,645.60 = 4,363.29 : x
  2. Step 2: Convert to fraction form
    6,431.91/9,645.60 = 4,363.29/x
  3. Step 3: Cross multiply
    6,431.91x = 9,645.60 × 4,363.29
  4. Step 4: Simplify right side
    6,431.91x = 42,086,550.02
  5. Step 5: Solve for x
    x = 42,086,550.02/6,431.91
  6. Step 6: Final answer
    x = 6,543.40

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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.