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Finding the Fourth Proportional to 6,303.59, 8,696.43 and 3,785.84

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Solution

The fourth proportional to 6,303.59, 8,696.43 and 3,785.84 is: 5,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.59 : 8,696.43 = 3,785.84 : x
  2. Step 2: Convert to fraction form
    6,303.59/8,696.43 = 3,785.84/x
  3. Step 3: Cross multiply
    6,303.59x = 8,696.43 × 3,785.84
  4. Step 4: Simplify right side
    6,303.59x = 32,923,292.55
  5. Step 5: Solve for x
    x = 32,923,292.55/6,303.59
  6. Step 6: Final answer
    x = 5,222.94

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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.