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Finding the Fourth Proportional to 12,257.30, 16,914.08 and 6,952.61

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Solution

The fourth proportional to 12,257.30, 16,914.08 and 6,952.61 is: 9,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.30 : 16,914.08 = 6,952.61 : x
  2. Step 2: Convert to fraction form
    12,257.30/16,914.08 = 6,952.61/x
  3. Step 3: Cross multiply
    12,257.30x = 16,914.08 × 6,952.61
  4. Step 4: Simplify right side
    12,257.30x = 117,596,882.42
  5. Step 5: Solve for x
    x = 117,596,882.42/12,257.30
  6. Step 6: Final answer
    x = 9,594.03

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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.