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Finding the Fourth Proportional to 6,541,863.54, 9,808,596.26 and 4,295,377.14

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Solution

The fourth proportional to 6,541,863.54, 9,808,596.26 and 4,295,377.14 is: 6,440,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541,863.54 : 9,808,596.26 = 4,295,377.14 : x
  2. Step 2: Convert to fraction form
    6,541,863.54/9,808,596.26 = 4,295,377.14/x
  3. Step 3: Cross multiply
    6,541,863.54x = 9,808,596.26 × 4,295,377.14
  4. Step 4: Simplify right side
    6,541,863.54x = 42,131,620,150,693.49
  5. Step 5: Solve for x
    x = 42,131,620,150,693.49/6,541,863.54
  6. Step 6: Final answer
    x = 6,440,308.62

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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.