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Finding the Fourth Proportional to 8,384,942.64, 12,580,072.32 and 2,993,477.28

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Solution

The fourth proportional to 8,384,942.64, 12,580,072.32 and 2,993,477.28 is: 4,491,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384,942.64 : 12,580,072.32 = 2,993,477.28 : x
  2. Step 2: Convert to fraction form
    8,384,942.64/12,580,072.32 = 2,993,477.28/x
  3. Step 3: Cross multiply
    8,384,942.64x = 12,580,072.32 × 2,993,477.28
  4. Step 4: Simplify right side
    8,384,942.64x = 37,658,160,670,676.89
  5. Step 5: Solve for x
    x = 37,658,160,670,676.89/8,384,942.64
  6. Step 6: Final answer
    x = 4,491,164.97

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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.