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Finding the Fourth Proportional to 6,967.19, 9,614.37 and 4,134.68

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Solution

The fourth proportional to 6,967.19, 9,614.37 and 4,134.68 is: 5,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.19 : 9,614.37 = 4,134.68 : x
  2. Step 2: Convert to fraction form
    6,967.19/9,614.37 = 4,134.68/x
  3. Step 3: Cross multiply
    6,967.19x = 9,614.37 × 4,134.68
  4. Step 4: Simplify right side
    6,967.19x = 39,752,375.77
  5. Step 5: Solve for x
    x = 39,752,375.77/6,967.19
  6. Step 6: Final answer
    x = 5,705.65

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