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Finding the Fourth Proportional to 9,209.93, 12,714.25 and 6,379.46

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Solution

The fourth proportional to 9,209.93, 12,714.25 and 6,379.46 is: 8,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.93 : 12,714.25 = 6,379.46 : x
  2. Step 2: Convert to fraction form
    9,209.93/12,714.25 = 6,379.46/x
  3. Step 3: Cross multiply
    9,209.93x = 12,714.25 × 6,379.46
  4. Step 4: Simplify right side
    9,209.93x = 81,109,985.62
  5. Step 5: Solve for x
    x = 81,109,985.62/9,209.93
  6. Step 6: Final answer
    x = 8,806.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.