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Finding the Fourth Proportional to 7,087.64, 9,781.92 and 4,104.41

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Solution

The fourth proportional to 7,087.64, 9,781.92 and 4,104.41 is: 5,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.64 : 9,781.92 = 4,104.41 : x
  2. Step 2: Convert to fraction form
    7,087.64/9,781.92 = 4,104.41/x
  3. Step 3: Cross multiply
    7,087.64x = 9,781.92 × 4,104.41
  4. Step 4: Simplify right side
    7,087.64x = 40,148,961.36
  5. Step 5: Solve for x
    x = 40,148,961.36/7,087.64
  6. Step 6: Final answer
    x = 5,664.65

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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.