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Finding the Fourth Proportional to 9,396.25, 14,096.54 and 3,240.25

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Solution

The fourth proportional to 9,396.25, 14,096.54 and 3,240.25 is: 4,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.25 : 14,096.54 = 3,240.25 : x
  2. Step 2: Convert to fraction form
    9,396.25/14,096.54 = 3,240.25/x
  3. Step 3: Cross multiply
    9,396.25x = 14,096.54 × 3,240.25
  4. Step 4: Simplify right side
    9,396.25x = 45,676,297.53
  5. Step 5: Solve for x
    x = 45,676,297.53/9,396.25
  6. Step 6: Final answer
    x = 4,861.12

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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.