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Finding the Fourth Proportional to 9,284.42, 13,923.14 and 3,735.88

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Solution

The fourth proportional to 9,284.42, 13,923.14 and 3,735.88 is: 5,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.42 : 13,923.14 = 3,735.88 : x
  2. Step 2: Convert to fraction form
    9,284.42/13,923.14 = 3,735.88/x
  3. Step 3: Cross multiply
    9,284.42x = 13,923.14 × 3,735.88
  4. Step 4: Simplify right side
    9,284.42x = 52,015,180.26
  5. Step 5: Solve for x
    x = 52,015,180.26/9,284.42
  6. Step 6: Final answer
    x = 5,602.42

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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.