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Finding the Fourth Proportional to 9,497.75, 13,096.23 and 6,136.13

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Solution

The fourth proportional to 9,497.75, 13,096.23 and 6,136.13 is: 8,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.75 : 13,096.23 = 6,136.13 : x
  2. Step 2: Convert to fraction form
    9,497.75/13,096.23 = 6,136.13/x
  3. Step 3: Cross multiply
    9,497.75x = 13,096.23 × 6,136.13
  4. Step 4: Simplify right side
    9,497.75x = 80,360,169.79
  5. Step 5: Solve for x
    x = 80,360,169.79/9,497.75
  6. Step 6: Final answer
    x = 8,460.97

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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.