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Finding the Fourth Proportional to 7,078,631.21, 9,768,229.72 and 4,178,956.15

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Solution

The fourth proportional to 7,078,631.21, 9,768,229.72 and 4,178,956.15 is: 5,766,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078,631.21 : 9,768,229.72 = 4,178,956.15 : x
  2. Step 2: Convert to fraction form
    7,078,631.21/9,768,229.72 = 4,178,956.15/x
  3. Step 3: Cross multiply
    7,078,631.21x = 9,768,229.72 × 4,178,956.15
  4. Step 4: Simplify right side
    7,078,631.21x = 40,821,003,663,006.78
  5. Step 5: Solve for x
    x = 40,821,003,663,006.78/7,078,631.21
  6. Step 6: Final answer
    x = 5,766,793.39

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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.