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Finding the Fourth Proportional to 9,523.28, 14,293.02 and 3,684

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Solution

The fourth proportional to 9,523.28, 14,293.02 and 3,684 is: 5,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.28 : 14,293.02 = 3,684 : x
  2. Step 2: Convert to fraction form
    9,523.28/14,293.02 = 3,684/x
  3. Step 3: Cross multiply
    9,523.28x = 14,293.02 × 3,684
  4. Step 4: Simplify right side
    9,523.28x = 52,655,485.68
  5. Step 5: Solve for x
    x = 52,655,485.68/9,523.28
  6. Step 6: Final answer
    x = 5,529.13

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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.