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Finding the Fourth Proportional to 6,085.74, 9,136.17 and 6,057.66

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Solution

The fourth proportional to 6,085.74, 9,136.17 and 6,057.66 is: 9,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.74 : 9,136.17 = 6,057.66 : x
  2. Step 2: Convert to fraction form
    6,085.74/9,136.17 = 6,057.66/x
  3. Step 3: Cross multiply
    6,085.74x = 9,136.17 × 6,057.66
  4. Step 4: Simplify right side
    6,085.74x = 55,343,811.56
  5. Step 5: Solve for x
    x = 55,343,811.56/6,085.74
  6. Step 6: Final answer
    x = 9,094.02

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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.