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Finding the Fourth Proportional to 9,160.45, 12,640.93 and 5,182.27

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Solution

The fourth proportional to 9,160.45, 12,640.93 and 5,182.27 is: 7,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.45 : 12,640.93 = 5,182.27 : x
  2. Step 2: Convert to fraction form
    9,160.45/12,640.93 = 5,182.27/x
  3. Step 3: Cross multiply
    9,160.45x = 12,640.93 × 5,182.27
  4. Step 4: Simplify right side
    9,160.45x = 65,508,712.31
  5. Step 5: Solve for x
    x = 65,508,712.31/9,160.45
  6. Step 6: Final answer
    x = 7,151.25

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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.