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Finding the Fourth Proportional to 6,684, 9,223.94 and 3,700.04

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Solution

The fourth proportional to 6,684, 9,223.94 and 3,700.04 is: 5,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684 : 9,223.94 = 3,700.04 : x
  2. Step 2: Convert to fraction form
    6,684/9,223.94 = 3,700.04/x
  3. Step 3: Cross multiply
    6,684x = 9,223.94 × 3,700.04
  4. Step 4: Simplify right side
    6,684x = 34,128,882.34
  5. Step 5: Solve for x
    x = 34,128,882.34/6,684
  6. Step 6: Final answer
    x = 5,106.06

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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.