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Finding the Fourth Proportional to 6,904.18, 9,527.83 and 3,760.37

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Solution

The fourth proportional to 6,904.18, 9,527.83 and 3,760.37 is: 5,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.18 : 9,527.83 = 3,760.37 : x
  2. Step 2: Convert to fraction form
    6,904.18/9,527.83 = 3,760.37/x
  3. Step 3: Cross multiply
    6,904.18x = 9,527.83 × 3,760.37
  4. Step 4: Simplify right side
    6,904.18x = 35,828,109.06
  5. Step 5: Solve for x
    x = 35,828,109.06/6,904.18
  6. Step 6: Final answer
    x = 5,189.34

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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.