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Finding the Fourth Proportional to 9,688.20, 13,361.94 and 6,152.28

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Solution

The fourth proportional to 9,688.20, 13,361.94 and 6,152.28 is: 8,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.20 : 13,361.94 = 6,152.28 : x
  2. Step 2: Convert to fraction form
    9,688.20/13,361.94 = 6,152.28/x
  3. Step 3: Cross multiply
    9,688.20x = 13,361.94 × 6,152.28
  4. Step 4: Simplify right side
    9,688.20x = 82,206,396.22
  5. Step 5: Solve for x
    x = 82,206,396.22/9,688.20
  6. Step 6: Final answer
    x = 8,485.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.