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Finding the Fourth Proportional to 9,146.57, 12,622.29 and 4,954.82

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Solution

The fourth proportional to 9,146.57, 12,622.29 and 4,954.82 is: 6,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.57 : 12,622.29 = 4,954.82 : x
  2. Step 2: Convert to fraction form
    9,146.57/12,622.29 = 4,954.82/x
  3. Step 3: Cross multiply
    9,146.57x = 12,622.29 × 4,954.82
  4. Step 4: Simplify right side
    9,146.57x = 62,541,174.94
  5. Step 5: Solve for x
    x = 62,541,174.94/9,146.57
  6. Step 6: Final answer
    x = 6,837.66

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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.