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Finding the Fourth Proportional to 9,546.76, 14,322.22 and 3,924.47

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Solution

The fourth proportional to 9,546.76, 14,322.22 and 3,924.47 is: 5,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.76 : 14,322.22 = 3,924.47 : x
  2. Step 2: Convert to fraction form
    9,546.76/14,322.22 = 3,924.47/x
  3. Step 3: Cross multiply
    9,546.76x = 14,322.22 × 3,924.47
  4. Step 4: Simplify right side
    9,546.76x = 56,207,122.72
  5. Step 5: Solve for x
    x = 56,207,122.72/9,546.76
  6. Step 6: Final answer
    x = 5,887.56

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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.