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Finding the Fourth Proportional to 9,202.14, 13,803.05 and 2,276.64

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Solution

The fourth proportional to 9,202.14, 13,803.05 and 2,276.64 is: 3,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.14 : 13,803.05 = 2,276.64 : x
  2. Step 2: Convert to fraction form
    9,202.14/13,803.05 = 2,276.64/x
  3. Step 3: Cross multiply
    9,202.14x = 13,803.05 × 2,276.64
  4. Step 4: Simplify right side
    9,202.14x = 31,424,575.75
  5. Step 5: Solve for x
    x = 31,424,575.75/9,202.14
  6. Step 6: Final answer
    x = 3,414.92

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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.