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Finding the Fourth Proportional to 6,707.65, 9,256.19 and 3,723.46

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Solution

The fourth proportional to 6,707.65, 9,256.19 and 3,723.46 is: 5,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.65 : 9,256.19 = 3,723.46 : x
  2. Step 2: Convert to fraction form
    6,707.65/9,256.19 = 3,723.46/x
  3. Step 3: Cross multiply
    6,707.65x = 9,256.19 × 3,723.46
  4. Step 4: Simplify right side
    6,707.65x = 34,465,053.22
  5. Step 5: Solve for x
    x = 34,465,053.22/6,707.65
  6. Step 6: Final answer
    x = 5,138.17

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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.