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Finding the Fourth Proportional to 12,242.28, 16,893.70 and 6,937.16

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Solution

The fourth proportional to 12,242.28, 16,893.70 and 6,937.16 is: 9,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.28 : 16,893.70 = 6,937.16 : x
  2. Step 2: Convert to fraction form
    12,242.28/16,893.70 = 6,937.16/x
  3. Step 3: Cross multiply
    12,242.28x = 16,893.70 × 6,937.16
  4. Step 4: Simplify right side
    12,242.28x = 117,194,299.89
  5. Step 5: Solve for x
    x = 117,194,299.89/12,242.28
  6. Step 6: Final answer
    x = 9,572.91

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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.