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Finding the Fourth Proportional to 6,096.51, 8,418.27 and 3,862.32

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Solution

The fourth proportional to 6,096.51, 8,418.27 and 3,862.32 is: 5,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.51 : 8,418.27 = 3,862.32 : x
  2. Step 2: Convert to fraction form
    6,096.51/8,418.27 = 3,862.32/x
  3. Step 3: Cross multiply
    6,096.51x = 8,418.27 × 3,862.32
  4. Step 4: Simplify right side
    6,096.51x = 32,514,052.59
  5. Step 5: Solve for x
    x = 32,514,052.59/6,096.51
  6. Step 6: Final answer
    x = 5,333.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.