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Finding the Fourth Proportional to 9,777,754.53, 13,494,971.16 and 5,647,043.25

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Solution

The fourth proportional to 9,777,754.53, 13,494,971.16 and 5,647,043.25 is: 7,793,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777,754.53 : 13,494,971.16 = 5,647,043.25 : x
  2. Step 2: Convert to fraction form
    9,777,754.53/13,494,971.16 = 5,647,043.25/x
  3. Step 3: Cross multiply
    9,777,754.53x = 13,494,971.16 × 5,647,043.25
  4. Step 4: Simplify right side
    9,777,754.53x = 76,206,685,798,022.67
  5. Step 5: Solve for x
    x = 76,206,685,798,022.67/9,777,754.53
  6. Step 6: Final answer
    x = 7,793,884.12

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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.