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Finding the Fourth Proportional to 7,136.32, 9,825.76 and 6,480.22

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Solution

The fourth proportional to 7,136.32, 9,825.76 and 6,480.22 is: 8,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.32 : 9,825.76 = 6,480.22 : x
  2. Step 2: Convert to fraction form
    7,136.32/9,825.76 = 6,480.22/x
  3. Step 3: Cross multiply
    7,136.32x = 9,825.76 × 6,480.22
  4. Step 4: Simplify right side
    7,136.32x = 63,673,086.47
  5. Step 5: Solve for x
    x = 63,673,086.47/7,136.32
  6. Step 6: Final answer
    x = 8,922.40

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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.