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Finding the Fourth Proportional to 9,197.58, 13,692.32 and 9,142.90

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Solution

The fourth proportional to 9,197.58, 13,692.32 and 9,142.90 is: 13,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.58 : 13,692.32 = 9,142.90 : x
  2. Step 2: Convert to fraction form
    9,197.58/13,692.32 = 9,142.90/x
  3. Step 3: Cross multiply
    9,197.58x = 13,692.32 × 9,142.90
  4. Step 4: Simplify right side
    9,197.58x = 125,187,512.53
  5. Step 5: Solve for x
    x = 125,187,512.53/9,197.58
  6. Step 6: Final answer
    x = 13,610.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.