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Finding the Fourth Proportional to 9,682.63, 14,530.07 and 4,136.02

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Solution

The fourth proportional to 9,682.63, 14,530.07 and 4,136.02 is: 6,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.63 : 14,530.07 = 4,136.02 : x
  2. Step 2: Convert to fraction form
    9,682.63/14,530.07 = 4,136.02/x
  3. Step 3: Cross multiply
    9,682.63x = 14,530.07 × 4,136.02
  4. Step 4: Simplify right side
    9,682.63x = 60,096,634.14
  5. Step 5: Solve for x
    x = 60,096,634.14/9,682.63
  6. Step 6: Final answer
    x = 6,206.65

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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.