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Finding the Fourth Proportional to 6,423.70, 9,625.20 and 3,642.10

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Solution

The fourth proportional to 6,423.70, 9,625.20 and 3,642.10 is: 5,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.70 : 9,625.20 = 3,642.10 : x
  2. Step 2: Convert to fraction form
    6,423.70/9,625.20 = 3,642.10/x
  3. Step 3: Cross multiply
    6,423.70x = 9,625.20 × 3,642.10
  4. Step 4: Simplify right side
    6,423.70x = 35,055,940.92
  5. Step 5: Solve for x
    x = 35,055,940.92/6,423.70
  6. Step 6: Final answer
    x = 5,457.28

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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.