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Finding the Fourth Proportional to 9,383.76, 14,073.56 and 2,809.08

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Solution

The fourth proportional to 9,383.76, 14,073.56 and 2,809.08 is: 4,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.76 : 14,073.56 = 2,809.08 : x
  2. Step 2: Convert to fraction form
    9,383.76/14,073.56 = 2,809.08/x
  3. Step 3: Cross multiply
    9,383.76x = 14,073.56 × 2,809.08
  4. Step 4: Simplify right side
    9,383.76x = 39,533,755.92
  5. Step 5: Solve for x
    x = 39,533,755.92/9,383.76
  6. Step 6: Final answer
    x = 4,213.00

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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.