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Finding the Fourth Proportional to 9,874,234.32, 13,620,957.84 and 5,743,800.48

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Solution

The fourth proportional to 9,874,234.32, 13,620,957.84 and 5,743,800.48 is: 7,923,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874,234.32 : 13,620,957.84 = 5,743,800.48 : x
  2. Step 2: Convert to fraction form
    9,874,234.32/13,620,957.84 = 5,743,800.48/x
  3. Step 3: Cross multiply
    9,874,234.32x = 13,620,957.84 × 5,743,800.48
  4. Step 4: Simplify right side
    9,874,234.32x = 78,236,064,179,451.77
  5. Step 5: Solve for x
    x = 78,236,064,179,451.77/9,874,234.32
  6. Step 6: Final answer
    x = 7,923,253.76

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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.