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Finding the Fourth Proportional to 6,328.44, 9,482.85 and 4,766.76

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Solution

The fourth proportional to 6,328.44, 9,482.85 and 4,766.76 is: 7,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.44 : 9,482.85 = 4,766.76 : x
  2. Step 2: Convert to fraction form
    6,328.44/9,482.85 = 4,766.76/x
  3. Step 3: Cross multiply
    6,328.44x = 9,482.85 × 4,766.76
  4. Step 4: Simplify right side
    6,328.44x = 45,202,470.07
  5. Step 5: Solve for x
    x = 45,202,470.07/6,328.44
  6. Step 6: Final answer
    x = 7,142.75

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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.