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Finding the Fourth Proportional to 9,684.78, 13,361.66 and 5,435.26

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Solution

The fourth proportional to 9,684.78, 13,361.66 and 5,435.26 is: 7,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.78 : 13,361.66 = 5,435.26 : x
  2. Step 2: Convert to fraction form
    9,684.78/13,361.66 = 5,435.26/x
  3. Step 3: Cross multiply
    9,684.78x = 13,361.66 × 5,435.26
  4. Step 4: Simplify right side
    9,684.78x = 72,624,035.55
  5. Step 5: Solve for x
    x = 72,624,035.55/9,684.78
  6. Step 6: Final answer
    x = 7,498.78

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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.