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Finding the Fourth Proportional to 9,146.03, 13,692.31 and 8,270.54

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Solution

The fourth proportional to 9,146.03, 13,692.31 and 8,270.54 is: 12,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.03 : 13,692.31 = 8,270.54 : x
  2. Step 2: Convert to fraction form
    9,146.03/13,692.31 = 8,270.54/x
  3. Step 3: Cross multiply
    9,146.03x = 13,692.31 × 8,270.54
  4. Step 4: Simplify right side
    9,146.03x = 113,242,759.76
  5. Step 5: Solve for x
    x = 113,242,759.76/9,146.03
  6. Step 6: Final answer
    x = 12,381.64

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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.