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Finding the Fourth Proportional to 9,307.78, 13,963.62 and 2,733.44

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Solution

The fourth proportional to 9,307.78, 13,963.62 and 2,733.44 is: 4,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.78 : 13,963.62 = 2,733.44 : x
  2. Step 2: Convert to fraction form
    9,307.78/13,963.62 = 2,733.44/x
  3. Step 3: Cross multiply
    9,307.78x = 13,963.62 × 2,733.44
  4. Step 4: Simplify right side
    9,307.78x = 38,168,717.45
  5. Step 5: Solve for x
    x = 38,168,717.45/9,307.78
  6. Step 6: Final answer
    x = 4,100.73

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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.