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Finding the Fourth Proportional to 6,129, 9,193.68 and 1,512

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Solution

The fourth proportional to 6,129, 9,193.68 and 1,512 is: 2,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129 : 9,193.68 = 1,512 : x
  2. Step 2: Convert to fraction form
    6,129/9,193.68 = 1,512/x
  3. Step 3: Cross multiply
    6,129x = 9,193.68 × 1,512
  4. Step 4: Simplify right side
    6,129x = 13,900,844.16
  5. Step 5: Solve for x
    x = 13,900,844.16/6,129
  6. Step 6: Final answer
    x = 2,268.04

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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.