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Finding the Fourth Proportional to 9,384.43, 14,073.21 and 2,808.40

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Solution

The fourth proportional to 9,384.43, 14,073.21 and 2,808.40 is: 4,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.43 : 14,073.21 = 2,808.40 : x
  2. Step 2: Convert to fraction form
    9,384.43/14,073.21 = 2,808.40/x
  3. Step 3: Cross multiply
    9,384.43x = 14,073.21 × 2,808.40
  4. Step 4: Simplify right side
    9,384.43x = 39,523,202.96
  5. Step 5: Solve for x
    x = 39,523,202.96/9,384.43
  6. Step 6: Final answer
    x = 4,211.57

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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.