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Finding the Fourth Proportional to 7,136.16, 9,847.65 and 3,905.83

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Solution

The fourth proportional to 7,136.16, 9,847.65 and 3,905.83 is: 5,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.16 : 9,847.65 = 3,905.83 : x
  2. Step 2: Convert to fraction form
    7,136.16/9,847.65 = 3,905.83/x
  3. Step 3: Cross multiply
    7,136.16x = 9,847.65 × 3,905.83
  4. Step 4: Simplify right side
    7,136.16x = 38,463,246.80
  5. Step 5: Solve for x
    x = 38,463,246.80/7,136.16
  6. Step 6: Final answer
    x = 5,389.91

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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.