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Finding the Fourth Proportional to 6,129.72, 9,195.66 and 2,431.98

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Solution

The fourth proportional to 6,129.72, 9,195.66 and 2,431.98 is: 3,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.72 : 9,195.66 = 2,431.98 : x
  2. Step 2: Convert to fraction form
    6,129.72/9,195.66 = 2,431.98/x
  3. Step 3: Cross multiply
    6,129.72x = 9,195.66 × 2,431.98
  4. Step 4: Simplify right side
    6,129.72x = 22,363,661.21
  5. Step 5: Solve for x
    x = 22,363,661.21/6,129.72
  6. Step 6: Final answer
    x = 3,648.40

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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.