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Finding the Fourth Proportional to 9,480.74, 14,216.24 and 5,533.24

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Solution

The fourth proportional to 9,480.74, 14,216.24 and 5,533.24 is: 8,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.74 : 14,216.24 = 5,533.24 : x
  2. Step 2: Convert to fraction form
    9,480.74/14,216.24 = 5,533.24/x
  3. Step 3: Cross multiply
    9,480.74x = 14,216.24 × 5,533.24
  4. Step 4: Simplify right side
    9,480.74x = 78,661,867.82
  5. Step 5: Solve for x
    x = 78,661,867.82/9,480.74
  6. Step 6: Final answer
    x = 8,297.02

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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.