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Finding the Fourth Proportional to 9,202.62, 13,803.75 and 2,628.75

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Solution

The fourth proportional to 9,202.62, 13,803.75 and 2,628.75 is: 3,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.62 : 13,803.75 = 2,628.75 : x
  2. Step 2: Convert to fraction form
    9,202.62/13,803.75 = 2,628.75/x
  3. Step 3: Cross multiply
    9,202.62x = 13,803.75 × 2,628.75
  4. Step 4: Simplify right side
    9,202.62x = 36,286,607.81
  5. Step 5: Solve for x
    x = 36,286,607.81/9,202.62
  6. Step 6: Final answer
    x = 3,943.07

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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.