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Finding the Fourth Proportional to 6,274.35, 9,411.08 and 2,943.32

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Solution

The fourth proportional to 6,274.35, 9,411.08 and 2,943.32 is: 4,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.35 : 9,411.08 = 2,943.32 : x
  2. Step 2: Convert to fraction form
    6,274.35/9,411.08 = 2,943.32/x
  3. Step 3: Cross multiply
    6,274.35x = 9,411.08 × 2,943.32
  4. Step 4: Simplify right side
    6,274.35x = 27,699,805.27
  5. Step 5: Solve for x
    x = 27,699,805.27/6,274.35
  6. Step 6: Final answer
    x = 4,414.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.