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Finding the Fourth Proportional to 9,197.50, 12,692.82 and 5,006.02

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Solution

The fourth proportional to 9,197.50, 12,692.82 and 5,006.02 is: 6,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.50 : 12,692.82 = 5,006.02 : x
  2. Step 2: Convert to fraction form
    9,197.50/12,692.82 = 5,006.02/x
  3. Step 3: Cross multiply
    9,197.50x = 12,692.82 × 5,006.02
  4. Step 4: Simplify right side
    9,197.50x = 63,540,510.78
  5. Step 5: Solve for x
    x = 63,540,510.78/9,197.50
  6. Step 6: Final answer
    x = 6,908.45

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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.