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Finding the Fourth Proportional to 6,906.14, 9,527.62 and 4,811.48

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Solution

The fourth proportional to 6,906.14, 9,527.62 and 4,811.48 is: 6,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.14 : 9,527.62 = 4,811.48 : x
  2. Step 2: Convert to fraction form
    6,906.14/9,527.62 = 4,811.48/x
  3. Step 3: Cross multiply
    6,906.14x = 9,527.62 × 4,811.48
  4. Step 4: Simplify right side
    6,906.14x = 45,841,953.08
  5. Step 5: Solve for x
    x = 45,841,953.08/6,906.14
  6. Step 6: Final answer
    x = 6,637.85

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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.