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Finding the Fourth Proportional to 9,781.56, 14,674.50 and 5,396.76

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Solution

The fourth proportional to 9,781.56, 14,674.50 and 5,396.76 is: 8,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.56 : 14,674.50 = 5,396.76 : x
  2. Step 2: Convert to fraction form
    9,781.56/14,674.50 = 5,396.76/x
  3. Step 3: Cross multiply
    9,781.56x = 14,674.50 × 5,396.76
  4. Step 4: Simplify right side
    9,781.56x = 79,194,754.62
  5. Step 5: Solve for x
    x = 79,194,754.62/9,781.56
  6. Step 6: Final answer
    x = 8,096.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.