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Finding the Fourth Proportional to 6,690.86, 9,233.47 and 3,706.75

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Solution

The fourth proportional to 6,690.86, 9,233.47 and 3,706.75 is: 5,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.86 : 9,233.47 = 3,706.75 : x
  2. Step 2: Convert to fraction form
    6,690.86/9,233.47 = 3,706.75/x
  3. Step 3: Cross multiply
    6,690.86x = 9,233.47 × 3,706.75
  4. Step 4: Simplify right side
    6,690.86x = 34,226,164.92
  5. Step 5: Solve for x
    x = 34,226,164.92/6,690.86
  6. Step 6: Final answer
    x = 5,115.36

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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.