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Finding the Fourth Proportional to 9,664.89, 14,495.93 and 3,090.21

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Solution

The fourth proportional to 9,664.89, 14,495.93 and 3,090.21 is: 4,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.89 : 14,495.93 = 3,090.21 : x
  2. Step 2: Convert to fraction form
    9,664.89/14,495.93 = 3,090.21/x
  3. Step 3: Cross multiply
    9,664.89x = 14,495.93 × 3,090.21
  4. Step 4: Simplify right side
    9,664.89x = 44,795,467.85
  5. Step 5: Solve for x
    x = 44,795,467.85/9,664.89
  6. Step 6: Final answer
    x = 4,634.87

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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.