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Finding the Fourth Proportional to 6,602.24, 9,903.84 and 2,219.66

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Solution

The fourth proportional to 6,602.24, 9,903.84 and 2,219.66 is: 3,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.24 : 9,903.84 = 2,219.66 : x
  2. Step 2: Convert to fraction form
    6,602.24/9,903.84 = 2,219.66/x
  3. Step 3: Cross multiply
    6,602.24x = 9,903.84 × 2,219.66
  4. Step 4: Simplify right side
    6,602.24x = 21,983,157.49
  5. Step 5: Solve for x
    x = 21,983,157.49/6,602.24
  6. Step 6: Final answer
    x = 3,329.65

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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.