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Finding the Fourth Proportional to 6,329.16, 8,734.68 and 3,677.40

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Solution

The fourth proportional to 6,329.16, 8,734.68 and 3,677.40 is: 5,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.16 : 8,734.68 = 3,677.40 : x
  2. Step 2: Convert to fraction form
    6,329.16/8,734.68 = 3,677.40/x
  3. Step 3: Cross multiply
    6,329.16x = 8,734.68 × 3,677.40
  4. Step 4: Simplify right side
    6,329.16x = 32,120,912.23
  5. Step 5: Solve for x
    x = 32,120,912.23/6,329.16
  6. Step 6: Final answer
    x = 5,075.07

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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.