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Finding the Fourth Proportional to 6,107.22, 8,434.88 and 4,114.32

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Solution

The fourth proportional to 6,107.22, 8,434.88 and 4,114.32 is: 5,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.22 : 8,434.88 = 4,114.32 : x
  2. Step 2: Convert to fraction form
    6,107.22/8,434.88 = 4,114.32/x
  3. Step 3: Cross multiply
    6,107.22x = 8,434.88 × 4,114.32
  4. Step 4: Simplify right side
    6,107.22x = 34,703,795.48
  5. Step 5: Solve for x
    x = 34,703,795.48/6,107.22
  6. Step 6: Final answer
    x = 5,682.42

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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.