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Finding the Fourth Proportional to 9,192.21, 12,677.88 and 6,005.26

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Solution

The fourth proportional to 9,192.21, 12,677.88 and 6,005.26 is: 8,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.21 : 12,677.88 = 6,005.26 : x
  2. Step 2: Convert to fraction form
    9,192.21/12,677.88 = 6,005.26/x
  3. Step 3: Cross multiply
    9,192.21x = 12,677.88 × 6,005.26
  4. Step 4: Simplify right side
    9,192.21x = 76,133,965.65
  5. Step 5: Solve for x
    x = 76,133,965.65/9,192.21
  6. Step 6: Final answer
    x = 8,282.44

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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.