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Finding the Fourth Proportional to 12,446.32, 17,192.28 and 9,297.04

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Solution

The fourth proportional to 12,446.32, 17,192.28 and 9,297.04 is: 12,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.32 : 17,192.28 = 9,297.04 : x
  2. Step 2: Convert to fraction form
    12,446.32/17,192.28 = 9,297.04/x
  3. Step 3: Cross multiply
    12,446.32x = 17,192.28 × 9,297.04
  4. Step 4: Simplify right side
    12,446.32x = 159,837,314.85
  5. Step 5: Solve for x
    x = 159,837,314.85/12,446.32
  6. Step 6: Final answer
    x = 12,842.13

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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.