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Finding the Fourth Proportional to 6,129.34, 9,194.01 and 2,616.40

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Solution

The fourth proportional to 6,129.34, 9,194.01 and 2,616.40 is: 3,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.34 : 9,194.01 = 2,616.40 : x
  2. Step 2: Convert to fraction form
    6,129.34/9,194.01 = 2,616.40/x
  3. Step 3: Cross multiply
    6,129.34x = 9,194.01 × 2,616.40
  4. Step 4: Simplify right side
    6,129.34x = 24,055,207.76
  5. Step 5: Solve for x
    x = 24,055,207.76/6,129.34
  6. Step 6: Final answer
    x = 3,924.60

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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.