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Finding the Fourth Proportional to 9,213.57, 12,714.71 and 5,021.82

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Solution

The fourth proportional to 9,213.57, 12,714.71 and 5,021.82 is: 6,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.57 : 12,714.71 = 5,021.82 : x
  2. Step 2: Convert to fraction form
    9,213.57/12,714.71 = 5,021.82/x
  3. Step 3: Cross multiply
    9,213.57x = 12,714.71 × 5,021.82
  4. Step 4: Simplify right side
    9,213.57x = 63,850,959.86
  5. Step 5: Solve for x
    x = 63,850,959.86/9,213.57
  6. Step 6: Final answer
    x = 6,930.10

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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.