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Finding the Fourth Proportional to 8,997.60, 13,496.57 and 3,075.84

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Solution

The fourth proportional to 8,997.60, 13,496.57 and 3,075.84 is: 4,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.60 : 13,496.57 = 3,075.84 : x
  2. Step 2: Convert to fraction form
    8,997.60/13,496.57 = 3,075.84/x
  3. Step 3: Cross multiply
    8,997.60x = 13,496.57 × 3,075.84
  4. Step 4: Simplify right side
    8,997.60x = 41,513,289.87
  5. Step 5: Solve for x
    x = 41,513,289.87/8,997.60
  6. Step 6: Final answer
    x = 4,613.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.