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Finding the Fourth Proportional to 6,156.24, 9,232.02 and 2,206.40

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Solution

The fourth proportional to 6,156.24, 9,232.02 and 2,206.40 is: 3,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.24 : 9,232.02 = 2,206.40 : x
  2. Step 2: Convert to fraction form
    6,156.24/9,232.02 = 2,206.40/x
  3. Step 3: Cross multiply
    6,156.24x = 9,232.02 × 2,206.40
  4. Step 4: Simplify right side
    6,156.24x = 20,369,528.93
  5. Step 5: Solve for x
    x = 20,369,528.93/6,156.24
  6. Step 6: Final answer
    x = 3,308.76

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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.