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Finding the Fourth Proportional to 9,202.82, 13,806.05 and 3,358.67

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Solution

The fourth proportional to 9,202.82, 13,806.05 and 3,358.67 is: 5,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.82 : 13,806.05 = 3,358.67 : x
  2. Step 2: Convert to fraction form
    9,202.82/13,806.05 = 3,358.67/x
  3. Step 3: Cross multiply
    9,202.82x = 13,806.05 × 3,358.67
  4. Step 4: Simplify right side
    9,202.82x = 46,369,880.13
  5. Step 5: Solve for x
    x = 46,369,880.13/9,202.82
  6. Step 6: Final answer
    x = 5,038.66

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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.