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Finding the Fourth Proportional to 6,405.89, 9,609.44 and 2,023.99

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Solution

The fourth proportional to 6,405.89, 9,609.44 and 2,023.99 is: 3,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.89 : 9,609.44 = 2,023.99 : x
  2. Step 2: Convert to fraction form
    6,405.89/9,609.44 = 2,023.99/x
  3. Step 3: Cross multiply
    6,405.89x = 9,609.44 × 2,023.99
  4. Step 4: Simplify right side
    6,405.89x = 19,449,376.32
  5. Step 5: Solve for x
    x = 19,449,376.32/6,405.89
  6. Step 6: Final answer
    x = 3,036.17

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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.