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Finding the Fourth Proportional to 6,268.85, 9,384.83 and 4,632.70

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Solution

The fourth proportional to 6,268.85, 9,384.83 and 4,632.70 is: 6,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.85 : 9,384.83 = 4,632.70 : x
  2. Step 2: Convert to fraction form
    6,268.85/9,384.83 = 4,632.70/x
  3. Step 3: Cross multiply
    6,268.85x = 9,384.83 × 4,632.70
  4. Step 4: Simplify right side
    6,268.85x = 43,477,031.85
  5. Step 5: Solve for x
    x = 43,477,031.85/6,268.85
  6. Step 6: Final answer
    x = 6,935.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.