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Finding the Fourth Proportional to 9,197.48, 12,692.68 and 5,005.74

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Solution

The fourth proportional to 9,197.48, 12,692.68 and 5,005.74 is: 6,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.48 : 12,692.68 = 5,005.74 : x
  2. Step 2: Convert to fraction form
    9,197.48/12,692.68 = 5,005.74/x
  3. Step 3: Cross multiply
    9,197.48x = 12,692.68 × 5,005.74
  4. Step 4: Simplify right side
    9,197.48x = 63,536,255.98
  5. Step 5: Solve for x
    x = 63,536,255.98/9,197.48
  6. Step 6: Final answer
    x = 6,908.01

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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.