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Finding the Fourth Proportional to 9,278.84, 13,906.91 and 4,893.50

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Solution

The fourth proportional to 9,278.84, 13,906.91 and 4,893.50 is: 7,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.84 : 13,906.91 = 4,893.50 : x
  2. Step 2: Convert to fraction form
    9,278.84/13,906.91 = 4,893.50/x
  3. Step 3: Cross multiply
    9,278.84x = 13,906.91 × 4,893.50
  4. Step 4: Simplify right side
    9,278.84x = 68,053,370.08
  5. Step 5: Solve for x
    x = 68,053,370.08/9,278.84
  6. Step 6: Final answer
    x = 7,334.26

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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.