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Finding the Fourth Proportional to 6,274.28, 9,411.42 and 2,809.10

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Solution

The fourth proportional to 6,274.28, 9,411.42 and 2,809.10 is: 4,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.28 : 9,411.42 = 2,809.10 : x
  2. Step 2: Convert to fraction form
    6,274.28/9,411.42 = 2,809.10/x
  3. Step 3: Cross multiply
    6,274.28x = 9,411.42 × 2,809.10
  4. Step 4: Simplify right side
    6,274.28x = 26,437,619.92
  5. Step 5: Solve for x
    x = 26,437,619.92/6,274.28
  6. Step 6: Final answer
    x = 4,213.65

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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.