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Finding the Fourth Proportional to 6,320.84, 9,482.36 and 2,161.26

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Solution

The fourth proportional to 6,320.84, 9,482.36 and 2,161.26 is: 3,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.84 : 9,482.36 = 2,161.26 : x
  2. Step 2: Convert to fraction form
    6,320.84/9,482.36 = 2,161.26/x
  3. Step 3: Cross multiply
    6,320.84x = 9,482.36 × 2,161.26
  4. Step 4: Simplify right side
    6,320.84x = 20,493,834.57
  5. Step 5: Solve for x
    x = 20,493,834.57/6,320.84
  6. Step 6: Final answer
    x = 3,242.27

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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.