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Finding the Fourth Proportional to 8,969.80, 12,376.44 and 5,192.74

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Solution

The fourth proportional to 8,969.80, 12,376.44 and 5,192.74 is: 7,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.80 : 12,376.44 = 5,192.74 : x
  2. Step 2: Convert to fraction form
    8,969.80/12,376.44 = 5,192.74/x
  3. Step 3: Cross multiply
    8,969.80x = 12,376.44 × 5,192.74
  4. Step 4: Simplify right side
    8,969.80x = 64,267,635.05
  5. Step 5: Solve for x
    x = 64,267,635.05/8,969.80
  6. Step 6: Final answer
    x = 7,164.89

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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.