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Finding the Fourth Proportional to 9,344.28, 14,003.16 and 5,597.64

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Solution

The fourth proportional to 9,344.28, 14,003.16 and 5,597.64 is: 8,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.28 : 14,003.16 = 5,597.64 : x
  2. Step 2: Convert to fraction form
    9,344.28/14,003.16 = 5,597.64/x
  3. Step 3: Cross multiply
    9,344.28x = 14,003.16 × 5,597.64
  4. Step 4: Simplify right side
    9,344.28x = 78,384,648.54
  5. Step 5: Solve for x
    x = 78,384,648.54/9,344.28
  6. Step 6: Final answer
    x = 8,388.52

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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.