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Finding the Fourth Proportional to 9,384.79, 14,073.03 and 2,809.75

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Solution

The fourth proportional to 9,384.79, 14,073.03 and 2,809.75 is: 4,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.79 : 14,073.03 = 2,809.75 : x
  2. Step 2: Convert to fraction form
    9,384.79/14,073.03 = 2,809.75/x
  3. Step 3: Cross multiply
    9,384.79x = 14,073.03 × 2,809.75
  4. Step 4: Simplify right side
    9,384.79x = 39,541,660.86
  5. Step 5: Solve for x
    x = 39,541,660.86/9,384.79
  6. Step 6: Final answer
    x = 4,213.38

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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.