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Finding the Fourth Proportional to 6,433.38, 9,649.89 and 2,051.10

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Solution

The fourth proportional to 6,433.38, 9,649.89 and 2,051.10 is: 3,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.38 : 9,649.89 = 2,051.10 : x
  2. Step 2: Convert to fraction form
    6,433.38/9,649.89 = 2,051.10/x
  3. Step 3: Cross multiply
    6,433.38x = 9,649.89 × 2,051.10
  4. Step 4: Simplify right side
    6,433.38x = 19,792,889.38
  5. Step 5: Solve for x
    x = 19,792,889.38/6,433.38
  6. Step 6: Final answer
    x = 3,076.59

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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.