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Finding the Fourth Proportional to 9,213.30, 12,714.84 and 5,021.82

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Solution

The fourth proportional to 9,213.30, 12,714.84 and 5,021.82 is: 6,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.30 : 12,714.84 = 5,021.82 : x
  2. Step 2: Convert to fraction form
    9,213.30/12,714.84 = 5,021.82/x
  3. Step 3: Cross multiply
    9,213.30x = 12,714.84 × 5,021.82
  4. Step 4: Simplify right side
    9,213.30x = 63,851,637.81
  5. Step 5: Solve for x
    x = 63,851,637.81/9,213.30
  6. Step 6: Final answer
    x = 6,930.38

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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.