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Finding the Fourth Proportional to 9,214.18, 12,714.14 and 5,180.22

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Solution

The fourth proportional to 9,214.18, 12,714.14 and 5,180.22 is: 7,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.18 : 12,714.14 = 5,180.22 : x
  2. Step 2: Convert to fraction form
    9,214.18/12,714.14 = 5,180.22/x
  3. Step 3: Cross multiply
    9,214.18x = 12,714.14 × 5,180.22
  4. Step 4: Simplify right side
    9,214.18x = 65,862,042.31
  5. Step 5: Solve for x
    x = 65,862,042.31/9,214.18
  6. Step 6: Final answer
    x = 7,147.90

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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.