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Finding the Fourth Proportional to 6,785.63, 9,364.16 and 3,760.95

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Solution

The fourth proportional to 6,785.63, 9,364.16 and 3,760.95 is: 5,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.63 : 9,364.16 = 3,760.95 : x
  2. Step 2: Convert to fraction form
    6,785.63/9,364.16 = 3,760.95/x
  3. Step 3: Cross multiply
    6,785.63x = 9,364.16 × 3,760.95
  4. Step 4: Simplify right side
    6,785.63x = 35,218,118.75
  5. Step 5: Solve for x
    x = 35,218,118.75/6,785.63
  6. Step 6: Final answer
    x = 5,190.11

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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.