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Finding the Fourth Proportional to 9,220.42, 12,714.12 and 6,231.07

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Solution

The fourth proportional to 9,220.42, 12,714.12 and 6,231.07 is: 8,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.42 : 12,714.12 = 6,231.07 : x
  2. Step 2: Convert to fraction form
    9,220.42/12,714.12 = 6,231.07/x
  3. Step 3: Cross multiply
    9,220.42x = 12,714.12 × 6,231.07
  4. Step 4: Simplify right side
    9,220.42x = 79,222,571.71
  5. Step 5: Solve for x
    x = 79,222,571.71/9,220.42
  6. Step 6: Final answer
    x = 8,592.08

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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.