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Finding the Fourth Proportional to 9,268.84, 13,894.62 and 4,646.44

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Solution

The fourth proportional to 9,268.84, 13,894.62 and 4,646.44 is: 6,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.84 : 13,894.62 = 4,646.44 : x
  2. Step 2: Convert to fraction form
    9,268.84/13,894.62 = 4,646.44/x
  3. Step 3: Cross multiply
    9,268.84x = 13,894.62 × 4,646.44
  4. Step 4: Simplify right side
    9,268.84x = 64,560,518.15
  5. Step 5: Solve for x
    x = 64,560,518.15/9,268.84
  6. Step 6: Final answer
    x = 6,965.33

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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.