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Finding the Fourth Proportional to 6,904.71, 9,528.48 and 3,760.88

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Solution

The fourth proportional to 6,904.71, 9,528.48 and 3,760.88 is: 5,190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.71 : 9,528.48 = 3,760.88 : x
  2. Step 2: Convert to fraction form
    6,904.71/9,528.48 = 3,760.88/x
  3. Step 3: Cross multiply
    6,904.71x = 9,528.48 × 3,760.88
  4. Step 4: Simplify right side
    6,904.71x = 35,835,422.22
  5. Step 5: Solve for x
    x = 35,835,422.22/6,904.71
  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.