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Finding the Fourth Proportional to 6,690.36, 9,232.78 and 3,706.25

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Solution

The fourth proportional to 6,690.36, 9,232.78 and 3,706.25 is: 5,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.36 : 9,232.78 = 3,706.25 : x
  2. Step 2: Convert to fraction form
    6,690.36/9,232.78 = 3,706.25/x
  3. Step 3: Cross multiply
    6,690.36x = 9,232.78 × 3,706.25
  4. Step 4: Simplify right side
    6,690.36x = 34,218,990.88
  5. Step 5: Solve for x
    x = 34,218,990.88/6,690.36
  6. Step 6: Final answer
    x = 5,114.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.