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Finding the Fourth Proportional to 9,261.47, 12,695.09 and 9,136.87

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Solution

The fourth proportional to 9,261.47, 12,695.09 and 9,136.87 is: 12,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.47 : 12,695.09 = 9,136.87 : x
  2. Step 2: Convert to fraction form
    9,261.47/12,695.09 = 9,136.87/x
  3. Step 3: Cross multiply
    9,261.47x = 12,695.09 × 9,136.87
  4. Step 4: Simplify right side
    9,261.47x = 115,993,309.55
  5. Step 5: Solve for x
    x = 115,993,309.55/9,261.47
  6. Step 6: Final answer
    x = 12,524.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.