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Finding the Fourth Proportional to 9,163.40, 13,745.10 and 7,723.40

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Solution

The fourth proportional to 9,163.40, 13,745.10 and 7,723.40 is: 11,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.40 : 13,745.10 = 7,723.40 : x
  2. Step 2: Convert to fraction form
    9,163.40/13,745.10 = 7,723.40/x
  3. Step 3: Cross multiply
    9,163.40x = 13,745.10 × 7,723.40
  4. Step 4: Simplify right side
    9,163.40x = 106,158,905.34
  5. Step 5: Solve for x
    x = 106,158,905.34/9,163.40
  6. Step 6: Final answer
    x = 11,585.10

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Similar ratio
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1.5x scale

Why These Related Problems?

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