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Finding the Fourth Proportional to 6,904.54, 9,527.94 and 3,760.72

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Solution

The fourth proportional to 6,904.54, 9,527.94 and 3,760.72 is: 5,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.54 : 9,527.94 = 3,760.72 : x
  2. Step 2: Convert to fraction form
    6,904.54/9,527.94 = 3,760.72/x
  3. Step 3: Cross multiply
    6,904.54x = 9,527.94 × 3,760.72
  4. Step 4: Simplify right side
    6,904.54x = 35,831,914.52
  5. Step 5: Solve for x
    x = 35,831,914.52/6,904.54
  6. Step 6: Final answer
    x = 5,189.62

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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.