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Finding the Fourth Proportional to 6,792,786.12, 9,375,384.74 and 3,894,123.40

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Solution

The fourth proportional to 6,792,786.12, 9,375,384.74 and 3,894,123.40 is: 5,374,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792,786.12 : 9,375,384.74 = 3,894,123.40 : x
  2. Step 2: Convert to fraction form
    6,792,786.12/9,375,384.74 = 3,894,123.40/x
  3. Step 3: Cross multiply
    6,792,786.12x = 9,375,384.74 × 3,894,123.40
  4. Step 4: Simplify right side
    6,792,786.12x = 36,508,905,100,036.91
  5. Step 5: Solve for x
    x = 36,508,905,100,036.91/6,792,786.12
  6. Step 6: Final answer
    x = 5,374,658.42

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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.