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Finding the Fourth Proportional to 9,878.22, 14,819.91 and 2,952.72

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Solution

The fourth proportional to 9,878.22, 14,819.91 and 2,952.72 is: 4,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.22 : 14,819.91 = 2,952.72 : x
  2. Step 2: Convert to fraction form
    9,878.22/14,819.91 = 2,952.72/x
  3. Step 3: Cross multiply
    9,878.22x = 14,819.91 × 2,952.72
  4. Step 4: Simplify right side
    9,878.22x = 43,759,044.66
  5. Step 5: Solve for x
    x = 43,759,044.66/9,878.22
  6. Step 6: Final answer
    x = 4,429.85

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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.