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Finding the Fourth Proportional to 6,268.35, 9,384.08 and 4,632.20

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Solution

The fourth proportional to 6,268.35, 9,384.08 and 4,632.20 is: 6,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.35 : 9,384.08 = 4,632.20 : x
  2. Step 2: Convert to fraction form
    6,268.35/9,384.08 = 4,632.20/x
  3. Step 3: Cross multiply
    6,268.35x = 9,384.08 × 4,632.20
  4. Step 4: Simplify right side
    6,268.35x = 43,468,865.29
  5. Step 5: Solve for x
    x = 43,468,865.29/6,268.35
  6. Step 6: Final answer
    x = 6,934.66

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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.