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Finding the Fourth Proportional to 6,396.04, 9,585.36 and 3,102.56

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Solution

The fourth proportional to 6,396.04, 9,585.36 and 3,102.56 is: 4,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.04 : 9,585.36 = 3,102.56 : x
  2. Step 2: Convert to fraction form
    6,396.04/9,585.36 = 3,102.56/x
  3. Step 3: Cross multiply
    6,396.04x = 9,585.36 × 3,102.56
  4. Step 4: Simplify right side
    6,396.04x = 29,739,154.52
  5. Step 5: Solve for x
    x = 29,739,154.52/6,396.04
  6. Step 6: Final answer
    x = 4,649.62

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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.