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Finding the Fourth Proportional to 6,706.16, 9,254.38 and 3,721.95

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Solution

The fourth proportional to 6,706.16, 9,254.38 and 3,721.95 is: 5,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.16 : 9,254.38 = 3,721.95 : x
  2. Step 2: Convert to fraction form
    6,706.16/9,254.38 = 3,721.95/x
  3. Step 3: Cross multiply
    6,706.16x = 9,254.38 × 3,721.95
  4. Step 4: Simplify right side
    6,706.16x = 34,444,339.64
  5. Step 5: Solve for x
    x = 34,444,339.64/6,706.16
  6. Step 6: Final answer
    x = 5,136.22

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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.