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Finding the Fourth Proportional to 6,128.42, 9,193.47 and 1,967.45

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Solution

The fourth proportional to 6,128.42, 9,193.47 and 1,967.45 is: 2,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.42 : 9,193.47 = 1,967.45 : x
  2. Step 2: Convert to fraction form
    6,128.42/9,193.47 = 1,967.45/x
  3. Step 3: Cross multiply
    6,128.42x = 9,193.47 × 1,967.45
  4. Step 4: Simplify right side
    6,128.42x = 18,087,692.55
  5. Step 5: Solve for x
    x = 18,087,692.55/6,128.42
  6. Step 6: Final answer
    x = 2,951.44

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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.