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Finding the Fourth Proportional to 6,952.46, 9,595.19 and 3,968.72

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Solution

The fourth proportional to 6,952.46, 9,595.19 and 3,968.72 is: 5,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.46 : 9,595.19 = 3,968.72 : x
  2. Step 2: Convert to fraction form
    6,952.46/9,595.19 = 3,968.72/x
  3. Step 3: Cross multiply
    6,952.46x = 9,595.19 × 3,968.72
  4. Step 4: Simplify right side
    6,952.46x = 38,080,620.38
  5. Step 5: Solve for x
    x = 38,080,620.38/6,952.46
  6. Step 6: Final answer
    x = 5,477.29

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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.