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Finding the Fourth Proportional to 6,128.92, 9,193.38 and 1,511.92

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Solution

The fourth proportional to 6,128.92, 9,193.38 and 1,511.92 is: 2,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.92 : 9,193.38 = 1,511.92 : x
  2. Step 2: Convert to fraction form
    6,128.92/9,193.38 = 1,511.92/x
  3. Step 3: Cross multiply
    6,128.92x = 9,193.38 × 1,511.92
  4. Step 4: Simplify right side
    6,128.92x = 13,899,655.09
  5. Step 5: Solve for x
    x = 13,899,655.09/6,128.92
  6. Step 6: Final answer
    x = 2,267.88

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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.