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Finding the Fourth Proportional to 6,685.36, 9,229.14 and 4,329.40

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Solution

The fourth proportional to 6,685.36, 9,229.14 and 4,329.40 is: 5,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.36 : 9,229.14 = 4,329.40 : x
  2. Step 2: Convert to fraction form
    6,685.36/9,229.14 = 4,329.40/x
  3. Step 3: Cross multiply
    6,685.36x = 9,229.14 × 4,329.40
  4. Step 4: Simplify right side
    6,685.36x = 39,956,638.72
  5. Step 5: Solve for x
    x = 39,956,638.72/6,685.36
  6. Step 6: Final answer
    x = 5,976.74

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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.