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Finding the Fourth Proportional to 6,706.06, 9,254.38 and 3,721.93

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Solution

The fourth proportional to 6,706.06, 9,254.38 and 3,721.93 is: 5,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.06 : 9,254.38 = 3,721.93 : x
  2. Step 2: Convert to fraction form
    6,706.06/9,254.38 = 3,721.93/x
  3. Step 3: Cross multiply
    6,706.06x = 9,254.38 × 3,721.93
  4. Step 4: Simplify right side
    6,706.06x = 34,444,154.55
  5. Step 5: Solve for x
    x = 34,444,154.55/6,706.06
  6. Step 6: Final answer
    x = 5,136.27

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Why These Related Problems?

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