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Finding the Fourth Proportional to 6,323.34, 9,486.40 and 1,941.16

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Solution

The fourth proportional to 6,323.34, 9,486.40 and 1,941.16 is: 2,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.34 : 9,486.40 = 1,941.16 : x
  2. Step 2: Convert to fraction form
    6,323.34/9,486.40 = 1,941.16/x
  3. Step 3: Cross multiply
    6,323.34x = 9,486.40 × 1,941.16
  4. Step 4: Simplify right side
    6,323.34x = 18,414,620.22
  5. Step 5: Solve for x
    x = 18,414,620.22/6,323.34
  6. Step 6: Final answer
    x = 2,912.17

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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.