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Finding the Fourth Proportional to 6,759.92, 9,328.70 and 3,775.86

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Solution

The fourth proportional to 6,759.92, 9,328.70 and 3,775.86 is: 5,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.92 : 9,328.70 = 3,775.86 : x
  2. Step 2: Convert to fraction form
    6,759.92/9,328.70 = 3,775.86/x
  3. Step 3: Cross multiply
    6,759.92x = 9,328.70 × 3,775.86
  4. Step 4: Simplify right side
    6,759.92x = 35,223,865.18
  5. Step 5: Solve for x
    x = 35,223,865.18/6,759.92
  6. Step 6: Final answer
    x = 5,210.69

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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.