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Finding the Fourth Proportional to 9,142.76, 12,616.36 and 5,366.09

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Solution

The fourth proportional to 9,142.76, 12,616.36 and 5,366.09 is: 7,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.76 : 12,616.36 = 5,366.09 : x
  2. Step 2: Convert to fraction form
    9,142.76/12,616.36 = 5,366.09/x
  3. Step 3: Cross multiply
    9,142.76x = 12,616.36 × 5,366.09
  4. Step 4: Simplify right side
    9,142.76x = 67,700,446.74
  5. Step 5: Solve for x
    x = 67,700,446.74/9,142.76
  6. Step 6: Final answer
    x = 7,404.81

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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.