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Finding the Fourth Proportional to 6,812.19, 9,400.74 and 3,828.53

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Solution

The fourth proportional to 6,812.19, 9,400.74 and 3,828.53 is: 5,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.19 : 9,400.74 = 3,828.53 : x
  2. Step 2: Convert to fraction form
    6,812.19/9,400.74 = 3,828.53/x
  3. Step 3: Cross multiply
    6,812.19x = 9,400.74 × 3,828.53
  4. Step 4: Simplify right side
    6,812.19x = 35,990,971.38
  5. Step 5: Solve for x
    x = 35,990,971.38/6,812.19
  6. Step 6: Final answer
    x = 5,283.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.