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Finding the Fourth Proportional to 7,609.14, 11,416.14 and 5,966.46

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Solution

The fourth proportional to 7,609.14, 11,416.14 and 5,966.46 is: 8,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.14 : 11,416.14 = 5,966.46 : x
  2. Step 2: Convert to fraction form
    7,609.14/11,416.14 = 5,966.46/x
  3. Step 3: Cross multiply
    7,609.14x = 11,416.14 × 5,966.46
  4. Step 4: Simplify right side
    7,609.14x = 68,113,942.66
  5. Step 5: Solve for x
    x = 68,113,942.66/7,609.14
  6. Step 6: Final answer
    x = 8,951.60

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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.