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Finding the Fourth Proportional to 9,202.21, 13,803.26 and 5,505.47

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Solution

The fourth proportional to 9,202.21, 13,803.26 and 5,505.47 is: 8,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.21 : 13,803.26 = 5,505.47 : x
  2. Step 2: Convert to fraction form
    9,202.21/13,803.26 = 5,505.47/x
  3. Step 3: Cross multiply
    9,202.21x = 13,803.26 × 5,505.47
  4. Step 4: Simplify right side
    9,202.21x = 75,993,440.81
  5. Step 5: Solve for x
    x = 75,993,440.81/9,202.21
  6. Step 6: Final answer
    x = 8,258.18

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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.