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Finding the Fourth Proportional to 6,965.65, 9,612.56 and 4,134.43

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Solution

The fourth proportional to 6,965.65, 9,612.56 and 4,134.43 is: 5,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.65 : 9,612.56 = 4,134.43 : x
  2. Step 2: Convert to fraction form
    6,965.65/9,612.56 = 4,134.43/x
  3. Step 3: Cross multiply
    6,965.65x = 9,612.56 × 4,134.43
  4. Step 4: Simplify right side
    6,965.65x = 39,742,456.44
  5. Step 5: Solve for x
    x = 39,742,456.44/6,965.65
  6. Step 6: Final answer
    x = 5,705.49

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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.