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Finding the Fourth Proportional to 9,146.25, 12,616.97 and 6,156.99

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Solution

The fourth proportional to 9,146.25, 12,616.97 and 6,156.99 is: 8,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.25 : 12,616.97 = 6,156.99 : x
  2. Step 2: Convert to fraction form
    9,146.25/12,616.97 = 6,156.99/x
  3. Step 3: Cross multiply
    9,146.25x = 12,616.97 × 6,156.99
  4. Step 4: Simplify right side
    9,146.25x = 77,682,527.34
  5. Step 5: Solve for x
    x = 77,682,527.34/9,146.25
  6. Step 6: Final answer
    x = 8,493.37

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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.