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Finding the Fourth Proportional to 9,662.62, 14,486.83 and 3,085.01

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Solution

The fourth proportional to 9,662.62, 14,486.83 and 3,085.01 is: 4,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.62 : 14,486.83 = 3,085.01 : x
  2. Step 2: Convert to fraction form
    9,662.62/14,486.83 = 3,085.01/x
  3. Step 3: Cross multiply
    9,662.62x = 14,486.83 × 3,085.01
  4. Step 4: Simplify right side
    9,662.62x = 44,692,015.42
  5. Step 5: Solve for x
    x = 44,692,015.42/9,662.62
  6. Step 6: Final answer
    x = 4,625.25

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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.