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Finding the Fourth Proportional to 6,342.81, 9,512.67 and 2,645.10

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Solution

The fourth proportional to 6,342.81, 9,512.67 and 2,645.10 is: 3,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.81 : 9,512.67 = 2,645.10 : x
  2. Step 2: Convert to fraction form
    6,342.81/9,512.67 = 2,645.10/x
  3. Step 3: Cross multiply
    6,342.81x = 9,512.67 × 2,645.10
  4. Step 4: Simplify right side
    6,342.81x = 25,161,963.42
  5. Step 5: Solve for x
    x = 25,161,963.42/6,342.81
  6. Step 6: Final answer
    x = 3,967.01

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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.