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Finding the Fourth Proportional to 9,539.34, 13,175.33 and 6,347.13

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Solution

The fourth proportional to 9,539.34, 13,175.33 and 6,347.13 is: 8,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.34 : 13,175.33 = 6,347.13 : x
  2. Step 2: Convert to fraction form
    9,539.34/13,175.33 = 6,347.13/x
  3. Step 3: Cross multiply
    9,539.34x = 13,175.33 × 6,347.13
  4. Step 4: Simplify right side
    9,539.34x = 83,625,532.30
  5. Step 5: Solve for x
    x = 83,625,532.30/9,539.34
  6. Step 6: Final answer
    x = 8,766.39

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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.