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Finding the Fourth Proportional to 6,906.58, 9,531.08 and 3,762.77

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Solution

The fourth proportional to 6,906.58, 9,531.08 and 3,762.77 is: 5,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.58 : 9,531.08 = 3,762.77 : x
  2. Step 2: Convert to fraction form
    6,906.58/9,531.08 = 3,762.77/x
  3. Step 3: Cross multiply
    6,906.58x = 9,531.08 × 3,762.77
  4. Step 4: Simplify right side
    6,906.58x = 35,863,261.89
  5. Step 5: Solve for x
    x = 35,863,261.89/6,906.58
  6. Step 6: Final answer
    x = 5,192.62

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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.