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Finding the Fourth Proportional to 25,336.36, 37,993.48 and 9,743

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Solution

The fourth proportional to 25,336.36, 37,993.48 and 9,743 is: 14,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,336.36 : 37,993.48 = 9,743 : x
  2. Step 2: Convert to fraction form
    25,336.36/37,993.48 = 9,743/x
  3. Step 3: Cross multiply
    25,336.36x = 37,993.48 × 9,743
  4. Step 4: Simplify right side
    25,336.36x = 370,170,475.64
  5. Step 5: Solve for x
    x = 370,170,475.64/25,336.36
  6. Step 6: Final answer
    x = 14,610.25

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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.