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Finding the Fourth Proportional to 9,197.43, 12,692.58 and 5,005.68

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Solution

The fourth proportional to 9,197.43, 12,692.58 and 5,005.68 is: 6,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.43 : 12,692.58 = 5,005.68 : x
  2. Step 2: Convert to fraction form
    9,197.43/12,692.58 = 5,005.68/x
  3. Step 3: Cross multiply
    9,197.43x = 12,692.58 × 5,005.68
  4. Step 4: Simplify right side
    9,197.43x = 63,534,993.85
  5. Step 5: Solve for x
    x = 63,534,993.85/9,197.43
  6. Step 6: Final answer
    x = 6,907.91

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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.