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Finding the Fourth Proportional to 9,146, 12,620.47 and 5,166.27

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Solution

The fourth proportional to 9,146, 12,620.47 and 5,166.27 is: 7,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 12,620.47 = 5,166.27 : x
  2. Step 2: Convert to fraction form
    9,146/12,620.47 = 5,166.27/x
  3. Step 3: Cross multiply
    9,146x = 12,620.47 × 5,166.27
  4. Step 4: Simplify right side
    9,146x = 65,200,755.55
  5. Step 5: Solve for x
    x = 65,200,755.55/9,146
  6. Step 6: Final answer
    x = 7,128.88

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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.