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Finding the Fourth Proportional to 9,146.52, 12,622.23 and 4,954.77

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Solution

The fourth proportional to 9,146.52, 12,622.23 and 4,954.77 is: 6,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.52 : 12,622.23 = 4,954.77 : x
  2. Step 2: Convert to fraction form
    9,146.52/12,622.23 = 4,954.77/x
  3. Step 3: Cross multiply
    9,146.52x = 12,622.23 × 4,954.77
  4. Step 4: Simplify right side
    9,146.52x = 62,540,246.54
  5. Step 5: Solve for x
    x = 62,540,246.54/9,146.52
  6. Step 6: Final answer
    x = 6,837.60

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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.