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Finding the Fourth Proportional to 6,420.14, 9,629.94 and 2,260.16

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Solution

The fourth proportional to 6,420.14, 9,629.94 and 2,260.16 is: 3,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.14 : 9,629.94 = 2,260.16 : x
  2. Step 2: Convert to fraction form
    6,420.14/9,629.94 = 2,260.16/x
  3. Step 3: Cross multiply
    6,420.14x = 9,629.94 × 2,260.16
  4. Step 4: Simplify right side
    6,420.14x = 21,765,205.19
  5. Step 5: Solve for x
    x = 21,765,205.19/6,420.14
  6. Step 6: Final answer
    x = 3,390.14

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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.