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Finding the Fourth Proportional to 9,278.26, 13,913.07 and 5,383.78

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Solution

The fourth proportional to 9,278.26, 13,913.07 and 5,383.78 is: 8,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.26 : 13,913.07 = 5,383.78 : x
  2. Step 2: Convert to fraction form
    9,278.26/13,913.07 = 5,383.78/x
  3. Step 3: Cross multiply
    9,278.26x = 13,913.07 × 5,383.78
  4. Step 4: Simplify right side
    9,278.26x = 74,904,908.00
  5. Step 5: Solve for x
    x = 74,904,908.00/9,278.26
  6. Step 6: Final answer
    x = 8,073.16

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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.