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Finding the Fourth Proportional to 6,129.93, 9,196.26 and 2,234.33

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Solution

The fourth proportional to 6,129.93, 9,196.26 and 2,234.33 is: 3,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.93 : 9,196.26 = 2,234.33 : x
  2. Step 2: Convert to fraction form
    6,129.93/9,196.26 = 2,234.33/x
  3. Step 3: Cross multiply
    6,129.93x = 9,196.26 × 2,234.33
  4. Step 4: Simplify right side
    6,129.93x = 20,547,494.22
  5. Step 5: Solve for x
    x = 20,547,494.22/6,129.93
  6. Step 6: Final answer
    x = 3,352.00

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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.