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Finding the Fourth Proportional to 6,904.17, 9,527.82 and 3,760.38

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Solution

The fourth proportional to 6,904.17, 9,527.82 and 3,760.38 is: 5,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.17 : 9,527.82 = 3,760.38 : x
  2. Step 2: Convert to fraction form
    6,904.17/9,527.82 = 3,760.38/x
  3. Step 3: Cross multiply
    6,904.17x = 9,527.82 × 3,760.38
  4. Step 4: Simplify right side
    6,904.17x = 35,828,223.77
  5. Step 5: Solve for x
    x = 35,828,223.77/6,904.17
  6. Step 6: Final answer
    x = 5,189.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.