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Finding the Fourth Proportional to 9,704.37, 13,361.33 and 8,817.53

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Solution

The fourth proportional to 9,704.37, 13,361.33 and 8,817.53 is: 12,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.37 : 13,361.33 = 8,817.53 : x
  2. Step 2: Convert to fraction form
    9,704.37/13,361.33 = 8,817.53/x
  3. Step 3: Cross multiply
    9,704.37x = 13,361.33 × 8,817.53
  4. Step 4: Simplify right side
    9,704.37x = 117,813,817.22
  5. Step 5: Solve for x
    x = 117,813,817.22/9,704.37
  6. Step 6: Final answer
    x = 12,140.28

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1.5x scale

Why These Related Problems?

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