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Finding the Fourth Proportional to 8,946.28, 12,344.07 and 5,409.70

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Solution

The fourth proportional to 8,946.28, 12,344.07 and 5,409.70 is: 7,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.28 : 12,344.07 = 5,409.70 : x
  2. Step 2: Convert to fraction form
    8,946.28/12,344.07 = 5,409.70/x
  3. Step 3: Cross multiply
    8,946.28x = 12,344.07 × 5,409.70
  4. Step 4: Simplify right side
    8,946.28x = 66,777,715.48
  5. Step 5: Solve for x
    x = 66,777,715.48/8,946.28
  6. Step 6: Final answer
    x = 7,464.30

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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.