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Finding the Fourth Proportional to 6,684.68, 9,224.46 and 3,700.35

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Solution

The fourth proportional to 6,684.68, 9,224.46 and 3,700.35 is: 5,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.68 : 9,224.46 = 3,700.35 : x
  2. Step 2: Convert to fraction form
    6,684.68/9,224.46 = 3,700.35/x
  3. Step 3: Cross multiply
    6,684.68x = 9,224.46 × 3,700.35
  4. Step 4: Simplify right side
    6,684.68x = 34,133,730.56
  5. Step 5: Solve for x
    x = 34,133,730.56/6,684.68
  6. Step 6: Final answer
    x = 5,106.26

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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.