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Finding the Fourth Proportional to 9,793,163.78, 13,500,322.56 and 6,843,824.11

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Solution

The fourth proportional to 9,793,163.78, 13,500,322.56 and 6,843,824.11 is: 9,434,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793,163.78 : 13,500,322.56 = 6,843,824.11 : x
  2. Step 2: Convert to fraction form
    9,793,163.78/13,500,322.56 = 6,843,824.11/x
  3. Step 3: Cross multiply
    9,793,163.78x = 13,500,322.56 × 6,843,824.11
  4. Step 4: Simplify right side
    9,793,163.78x = 92,393,832,995,154.12
  5. Step 5: Solve for x
    x = 92,393,832,995,154.12/9,793,163.78
  6. Step 6: Final answer
    x = 9,434,523.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.