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Finding the Fourth Proportional to 9,160.33, 12,640.76 and 5,182.24

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Solution

The fourth proportional to 9,160.33, 12,640.76 and 5,182.24 is: 7,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.33 : 12,640.76 = 5,182.24 : x
  2. Step 2: Convert to fraction form
    9,160.33/12,640.76 = 5,182.24/x
  3. Step 3: Cross multiply
    9,160.33x = 12,640.76 × 5,182.24
  4. Step 4: Simplify right side
    9,160.33x = 65,507,426.19
  5. Step 5: Solve for x
    x = 65,507,426.19/9,160.33
  6. Step 6: Final answer
    x = 7,151.21

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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.