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Finding the Fourth Proportional to 6,396.05, 9,586.02 and 3,427.13

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Solution

The fourth proportional to 6,396.05, 9,586.02 and 3,427.13 is: 5,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.05 : 9,586.02 = 3,427.13 : x
  2. Step 2: Convert to fraction form
    6,396.05/9,586.02 = 3,427.13/x
  3. Step 3: Cross multiply
    6,396.05x = 9,586.02 × 3,427.13
  4. Step 4: Simplify right side
    6,396.05x = 32,852,547.84
  5. Step 5: Solve for x
    x = 32,852,547.84/6,396.05
  6. Step 6: Final answer
    x = 5,136.38

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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.