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Finding the Fourth Proportional to 9,209.57, 12,714.39 and 6,071.22

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Solution

The fourth proportional to 9,209.57, 12,714.39 and 6,071.22 is: 8,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.57 : 12,714.39 = 6,071.22 : x
  2. Step 2: Convert to fraction form
    9,209.57/12,714.39 = 6,071.22/x
  3. Step 3: Cross multiply
    9,209.57x = 12,714.39 × 6,071.22
  4. Step 4: Simplify right side
    9,209.57x = 77,191,858.86
  5. Step 5: Solve for x
    x = 77,191,858.86/9,209.57
  6. Step 6: Final answer
    x = 8,381.71

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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.