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Finding the Fourth Proportional to 9,146.74, 12,622.42 and 4,954.99

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Solution

The fourth proportional to 9,146.74, 12,622.42 and 4,954.99 is: 6,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.74 : 12,622.42 = 4,954.99 : x
  2. Step 2: Convert to fraction form
    9,146.74/12,622.42 = 4,954.99/x
  3. Step 3: Cross multiply
    9,146.74x = 12,622.42 × 4,954.99
  4. Step 4: Simplify right side
    9,146.74x = 62,543,876.99
  5. Step 5: Solve for x
    x = 62,543,876.99/9,146.74
  6. Step 6: Final answer
    x = 6,837.84

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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.