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Finding the Fourth Proportional to 9,146.94, 12,622.71 and 5,167.98

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Solution

The fourth proportional to 9,146.94, 12,622.71 and 5,167.98 is: 7,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.94 : 12,622.71 = 5,167.98 : x
  2. Step 2: Convert to fraction form
    9,146.94/12,622.71 = 5,167.98/x
  3. Step 3: Cross multiply
    9,146.94x = 12,622.71 × 5,167.98
  4. Step 4: Simplify right side
    9,146.94x = 65,233,912.83
  5. Step 5: Solve for x
    x = 65,233,912.83/9,146.94
  6. Step 6: Final answer
    x = 7,131.77

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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.