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Finding the Fourth Proportional to 9,650.12, 14,463.84 and 4,100

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Solution

The fourth proportional to 9,650.12, 14,463.84 and 4,100 is: 6,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.12 : 14,463.84 = 4,100 : x
  2. Step 2: Convert to fraction form
    9,650.12/14,463.84 = 4,100/x
  3. Step 3: Cross multiply
    9,650.12x = 14,463.84 × 4,100
  4. Step 4: Simplify right side
    9,650.12x = 59,301,744
  5. Step 5: Solve for x
    x = 59,301,744/9,650.12
  6. Step 6: Final answer
    x = 6,145.18

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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.