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Finding the Fourth Proportional to 6,706.08, 9,253.68 and 3,721.86

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Solution

The fourth proportional to 6,706.08, 9,253.68 and 3,721.86 is: 5,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.08 : 9,253.68 = 3,721.86 : x
  2. Step 2: Convert to fraction form
    6,706.08/9,253.68 = 3,721.86/x
  3. Step 3: Cross multiply
    6,706.08x = 9,253.68 × 3,721.86
  4. Step 4: Simplify right side
    6,706.08x = 34,440,901.44
  5. Step 5: Solve for x
    x = 34,440,901.44/6,706.08
  6. Step 6: Final answer
    x = 5,135.77

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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.