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Finding the Fourth Proportional to 9,521.12, 13,144.92 and 6,214.88

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Solution

The fourth proportional to 9,521.12, 13,144.92 and 6,214.88 is: 8,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.12 : 13,144.92 = 6,214.88 : x
  2. Step 2: Convert to fraction form
    9,521.12/13,144.92 = 6,214.88/x
  3. Step 3: Cross multiply
    9,521.12x = 13,144.92 × 6,214.88
  4. Step 4: Simplify right side
    9,521.12x = 81,694,100.41
  5. Step 5: Solve for x
    x = 81,694,100.41/9,521.12
  6. Step 6: Final answer
    x = 8,580.30

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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.