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Finding the Fourth Proportional to 6,684.68, 9,224.64 and 3,700.40

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Solution

The fourth proportional to 6,684.68, 9,224.64 and 3,700.40 is: 5,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.68 : 9,224.64 = 3,700.40 : x
  2. Step 2: Convert to fraction form
    6,684.68/9,224.64 = 3,700.40/x
  3. Step 3: Cross multiply
    6,684.68x = 9,224.64 × 3,700.40
  4. Step 4: Simplify right side
    6,684.68x = 34,134,857.86
  5. Step 5: Solve for x
    x = 34,134,857.86/6,684.68
  6. Step 6: Final answer
    x = 5,106.43

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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.