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Finding the Fourth Proportional to 13,062.28, 19,596.30 and 6,133

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Solution

The fourth proportional to 13,062.28, 19,596.30 and 6,133 is: 9,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062.28 : 19,596.30 = 6,133 : x
  2. Step 2: Convert to fraction form
    13,062.28/19,596.30 = 6,133/x
  3. Step 3: Cross multiply
    13,062.28x = 19,596.30 × 6,133
  4. Step 4: Simplify right side
    13,062.28x = 120,184,107.90
  5. Step 5: Solve for x
    x = 120,184,107.90/13,062.28
  6. Step 6: Final answer
    x = 9,200.85

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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.