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Finding the Fourth Proportional to 8,404.26, 12,582.09 and 6,333.06

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Solution

The fourth proportional to 8,404.26, 12,582.09 and 6,333.06 is: 9,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.26 : 12,582.09 = 6,333.06 : x
  2. Step 2: Convert to fraction form
    8,404.26/12,582.09 = 6,333.06/x
  3. Step 3: Cross multiply
    8,404.26x = 12,582.09 × 6,333.06
  4. Step 4: Simplify right side
    8,404.26x = 79,683,130.90
  5. Step 5: Solve for x
    x = 79,683,130.90/8,404.26
  6. Step 6: Final answer
    x = 9,481.28

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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.