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Finding the Fourth Proportional to 6,405.39, 9,610.38 and 2,246.55

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Solution

The fourth proportional to 6,405.39, 9,610.38 and 2,246.55 is: 3,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.39 : 9,610.38 = 2,246.55 : x
  2. Step 2: Convert to fraction form
    6,405.39/9,610.38 = 2,246.55/x
  3. Step 3: Cross multiply
    6,405.39x = 9,610.38 × 2,246.55
  4. Step 4: Simplify right side
    6,405.39x = 21,590,199.19
  5. Step 5: Solve for x
    x = 21,590,199.19/6,405.39
  6. Step 6: Final answer
    x = 3,370.63

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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.