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Finding the Fourth Proportional to 6,684.33, 9,224.45 and 3,700.44

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Solution

The fourth proportional to 6,684.33, 9,224.45 and 3,700.44 is: 5,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.33 : 9,224.45 = 3,700.44 : x
  2. Step 2: Convert to fraction form
    6,684.33/9,224.45 = 3,700.44/x
  3. Step 3: Cross multiply
    6,684.33x = 9,224.45 × 3,700.44
  4. Step 4: Simplify right side
    6,684.33x = 34,134,477.64
  5. Step 5: Solve for x
    x = 34,134,477.64/6,684.33
  6. Step 6: Final answer
    x = 5,106.65

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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.