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Finding the Fourth Proportional to 6,904.67, 9,528.46 and 3,760.86

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Solution

The fourth proportional to 6,904.67, 9,528.46 and 3,760.86 is: 5,190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.67 : 9,528.46 = 3,760.86 : x
  2. Step 2: Convert to fraction form
    6,904.67/9,528.46 = 3,760.86/x
  3. Step 3: Cross multiply
    6,904.67x = 9,528.46 × 3,760.86
  4. Step 4: Simplify right side
    6,904.67x = 35,835,204.08
  5. Step 5: Solve for x
    x = 35,835,204.08/6,904.67
  6. Step 6: Final answer
    x = 5,190.00

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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.