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Finding the Fourth Proportional to 6,312.16, 9,469.11 and 2,801.89

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Solution

The fourth proportional to 6,312.16, 9,469.11 and 2,801.89 is: 4,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.16 : 9,469.11 = 2,801.89 : x
  2. Step 2: Convert to fraction form
    6,312.16/9,469.11 = 2,801.89/x
  3. Step 3: Cross multiply
    6,312.16x = 9,469.11 × 2,801.89
  4. Step 4: Simplify right side
    6,312.16x = 26,531,404.62
  5. Step 5: Solve for x
    x = 26,531,404.62/6,312.16
  6. Step 6: Final answer
    x = 4,203.22

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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.