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Finding the Fourth Proportional to 9,683.80, 14,527.98 and 2,758.12

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Solution

The fourth proportional to 9,683.80, 14,527.98 and 2,758.12 is: 4,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.80 : 14,527.98 = 2,758.12 : x
  2. Step 2: Convert to fraction form
    9,683.80/14,527.98 = 2,758.12/x
  3. Step 3: Cross multiply
    9,683.80x = 14,527.98 × 2,758.12
  4. Step 4: Simplify right side
    9,683.80x = 40,069,912.20
  5. Step 5: Solve for x
    x = 40,069,912.20/9,683.80
  6. Step 6: Final answer
    x = 4,137.83

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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.