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Finding the Fourth Proportional to 9,893,524.65, 14,839,794.90 and 5,101,698.30

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Solution

The fourth proportional to 9,893,524.65, 14,839,794.90 and 5,101,698.30 is: 7,652,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893,524.65 : 14,839,794.90 = 5,101,698.30 : x
  2. Step 2: Convert to fraction form
    9,893,524.65/14,839,794.90 = 5,101,698.30/x
  3. Step 3: Cross multiply
    9,893,524.65x = 14,839,794.90 × 5,101,698.30
  4. Step 4: Simplify right side
    9,893,524.65x = 75,708,156,413,678.67
  5. Step 5: Solve for x
    x = 75,708,156,413,678.67/9,893,524.65
  6. Step 6: Final answer
    x = 7,652,293.71

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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.