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Finding the Fourth Proportional to 9,097.66, 13,640.46 and 3,551.53

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Solution

The fourth proportional to 9,097.66, 13,640.46 and 3,551.53 is: 5,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.66 : 13,640.46 = 3,551.53 : x
  2. Step 2: Convert to fraction form
    9,097.66/13,640.46 = 3,551.53/x
  3. Step 3: Cross multiply
    9,097.66x = 13,640.46 × 3,551.53
  4. Step 4: Simplify right side
    9,097.66x = 48,444,502.90
  5. Step 5: Solve for x
    x = 48,444,502.90/9,097.66
  6. Step 6: Final answer
    x = 5,324.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.