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Finding the Fourth Proportional to 9,405.62, 12,979.04 and 5,156

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Solution

The fourth proportional to 9,405.62, 12,979.04 and 5,156 is: 7,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.62 : 12,979.04 = 5,156 : x
  2. Step 2: Convert to fraction form
    9,405.62/12,979.04 = 5,156/x
  3. Step 3: Cross multiply
    9,405.62x = 12,979.04 × 5,156
  4. Step 4: Simplify right side
    9,405.62x = 66,919,930.24
  5. Step 5: Solve for x
    x = 66,919,930.24/9,405.62
  6. Step 6: Final answer
    x = 7,114.89

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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.