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Finding the Fourth Proportional to 8,429.32, 12,613.38 and 6,094

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Solution

The fourth proportional to 8,429.32, 12,613.38 and 6,094 is: 9,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.32 : 12,613.38 = 6,094 : x
  2. Step 2: Convert to fraction form
    8,429.32/12,613.38 = 6,094/x
  3. Step 3: Cross multiply
    8,429.32x = 12,613.38 × 6,094
  4. Step 4: Simplify right side
    8,429.32x = 76,865,937.72
  5. Step 5: Solve for x
    x = 76,865,937.72/8,429.32
  6. Step 6: Final answer
    x = 9,118.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.