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Finding the Fourth Proportional to 6,467.23, 9,657.01 and 5,136.04

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Solution

The fourth proportional to 6,467.23, 9,657.01 and 5,136.04 is: 7,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.23 : 9,657.01 = 5,136.04 : x
  2. Step 2: Convert to fraction form
    6,467.23/9,657.01 = 5,136.04/x
  3. Step 3: Cross multiply
    6,467.23x = 9,657.01 × 5,136.04
  4. Step 4: Simplify right side
    6,467.23x = 49,598,763.96
  5. Step 5: Solve for x
    x = 49,598,763.96/6,467.23
  6. Step 6: Final answer
    x = 7,669.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.