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Finding the Fourth Proportional to 9,197.25, 12,692.21 and 5,005.53

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Solution

The fourth proportional to 9,197.25, 12,692.21 and 5,005.53 is: 6,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.25 : 12,692.21 = 5,005.53 : x
  2. Step 2: Convert to fraction form
    9,197.25/12,692.21 = 5,005.53/x
  3. Step 3: Cross multiply
    9,197.25x = 12,692.21 × 5,005.53
  4. Step 4: Simplify right side
    9,197.25x = 63,531,212.89
  5. Step 5: Solve for x
    x = 63,531,212.89/9,197.25
  6. Step 6: Final answer
    x = 6,907.63

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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.