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Finding the Fourth Proportional to 6,201.84, 9,298.88 and 2,303.04

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Solution

The fourth proportional to 6,201.84, 9,298.88 and 2,303.04 is: 3,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.84 : 9,298.88 = 2,303.04 : x
  2. Step 2: Convert to fraction form
    6,201.84/9,298.88 = 2,303.04/x
  3. Step 3: Cross multiply
    6,201.84x = 9,298.88 × 2,303.04
  4. Step 4: Simplify right side
    6,201.84x = 21,415,692.60
  5. Step 5: Solve for x
    x = 21,415,692.60/6,201.84
  6. Step 6: Final answer
    x = 3,453.12

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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.