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Finding the Fourth Proportional to 10,683.21, 14,728.01 and 9,206.85

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Solution

The fourth proportional to 10,683.21, 14,728.01 and 9,206.85 is: 12,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.21 : 14,728.01 = 9,206.85 : x
  2. Step 2: Convert to fraction form
    10,683.21/14,728.01 = 9,206.85/x
  3. Step 3: Cross multiply
    10,683.21x = 14,728.01 × 9,206.85
  4. Step 4: Simplify right side
    10,683.21x = 135,598,532.83
  5. Step 5: Solve for x
    x = 135,598,532.83/10,683.21
  6. Step 6: Final answer
    x = 12,692.68

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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.