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Finding the Fourth Proportional to 7,136.21, 9,825.59 and 6,480.11

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Solution

The fourth proportional to 7,136.21, 9,825.59 and 6,480.11 is: 8,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.21 : 9,825.59 = 6,480.11 : x
  2. Step 2: Convert to fraction form
    7,136.21/9,825.59 = 6,480.11/x
  3. Step 3: Cross multiply
    7,136.21x = 9,825.59 × 6,480.11
  4. Step 4: Simplify right side
    7,136.21x = 63,670,822.49
  5. Step 5: Solve for x
    x = 63,670,822.49/7,136.21
  6. Step 6: Final answer
    x = 8,922.22

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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.