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Finding the Fourth Proportional to 9,197.72, 12,692.44 and 5,005.96

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Solution

The fourth proportional to 9,197.72, 12,692.44 and 5,005.96 is: 6,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.72 : 12,692.44 = 5,005.96 : x
  2. Step 2: Convert to fraction form
    9,197.72/12,692.44 = 5,005.96/x
  3. Step 3: Cross multiply
    9,197.72x = 12,692.44 × 5,005.96
  4. Step 4: Simplify right side
    9,197.72x = 63,537,846.94
  5. Step 5: Solve for x
    x = 63,537,846.94/9,197.72
  6. Step 6: Final answer
    x = 6,908.00

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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.