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Finding the Fourth Proportional to 6,436.89, 9,655.34 and 4,142.97

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Solution

The fourth proportional to 6,436.89, 9,655.34 and 4,142.97 is: 6,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.89 : 9,655.34 = 4,142.97 : x
  2. Step 2: Convert to fraction form
    6,436.89/9,655.34 = 4,142.97/x
  3. Step 3: Cross multiply
    6,436.89x = 9,655.34 × 4,142.97
  4. Step 4: Simplify right side
    6,436.89x = 40,001,763.24
  5. Step 5: Solve for x
    x = 40,001,763.24/6,436.89
  6. Step 6: Final answer
    x = 6,214.46

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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.