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Finding the Fourth Proportional to 7,136.10, 9,839.07 and 6,236.19

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Solution

The fourth proportional to 7,136.10, 9,839.07 and 6,236.19 is: 8,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.10 : 9,839.07 = 6,236.19 : x
  2. Step 2: Convert to fraction form
    7,136.10/9,839.07 = 6,236.19/x
  3. Step 3: Cross multiply
    7,136.10x = 9,839.07 × 6,236.19
  4. Step 4: Simplify right side
    7,136.10x = 61,358,309.94
  5. Step 5: Solve for x
    x = 61,358,309.94/7,136.10
  6. Step 6: Final answer
    x = 8,598.30

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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.