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Finding the Fourth Proportional to 6,674, 9,209.32 and 3,984.72

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Solution

The fourth proportional to 6,674, 9,209.32 and 3,984.72 is: 5,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674 : 9,209.32 = 3,984.72 : x
  2. Step 2: Convert to fraction form
    6,674/9,209.32 = 3,984.72/x
  3. Step 3: Cross multiply
    6,674x = 9,209.32 × 3,984.72
  4. Step 4: Simplify right side
    6,674x = 36,696,561.59
  5. Step 5: Solve for x
    x = 36,696,561.59/6,674
  6. Step 6: Final answer
    x = 5,498.44

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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.