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Finding the Fourth Proportional to 6,690.84, 9,233.46 and 3,706.80

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Solution

The fourth proportional to 6,690.84, 9,233.46 and 3,706.80 is: 5,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.84 : 9,233.46 = 3,706.80 : x
  2. Step 2: Convert to fraction form
    6,690.84/9,233.46 = 3,706.80/x
  3. Step 3: Cross multiply
    6,690.84x = 9,233.46 × 3,706.80
  4. Step 4: Simplify right side
    6,690.84x = 34,226,554.90
  5. Step 5: Solve for x
    x = 34,226,554.90/6,690.84
  6. Step 6: Final answer
    x = 5,115.44

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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.