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Finding the Fourth Proportional to 12,243.34, 16,894.74 and 6,937.84

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Solution

The fourth proportional to 12,243.34, 16,894.74 and 6,937.84 is: 9,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.34 : 16,894.74 = 6,937.84 : x
  2. Step 2: Convert to fraction form
    12,243.34/16,894.74 = 6,937.84/x
  3. Step 3: Cross multiply
    12,243.34x = 16,894.74 × 6,937.84
  4. Step 4: Simplify right side
    12,243.34x = 117,213,002.96
  5. Step 5: Solve for x
    x = 117,213,002.96/12,243.34
  6. Step 6: Final answer
    x = 9,573.61

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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.