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Finding the Fourth Proportional to 9,683.84, 14,523.90 and 3,760.72

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Solution

The fourth proportional to 9,683.84, 14,523.90 and 3,760.72 is: 5,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.84 : 14,523.90 = 3,760.72 : x
  2. Step 2: Convert to fraction form
    9,683.84/14,523.90 = 3,760.72/x
  3. Step 3: Cross multiply
    9,683.84x = 14,523.90 × 3,760.72
  4. Step 4: Simplify right side
    9,683.84x = 54,620,321.21
  5. Step 5: Solve for x
    x = 54,620,321.21/9,683.84
  6. Step 6: Final answer
    x = 5,640.36

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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.