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Finding the Fourth Proportional to 6,356.39, 9,528.21 and 2,194.34

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Solution

The fourth proportional to 6,356.39, 9,528.21 and 2,194.34 is: 3,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.39 : 9,528.21 = 2,194.34 : x
  2. Step 2: Convert to fraction form
    6,356.39/9,528.21 = 2,194.34/x
  3. Step 3: Cross multiply
    6,356.39x = 9,528.21 × 2,194.34
  4. Step 4: Simplify right side
    6,356.39x = 20,908,084.69
  5. Step 5: Solve for x
    x = 20,908,084.69/6,356.39
  6. Step 6: Final answer
    x = 3,289.30

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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.