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Finding the Fourth Proportional to 6,189.32, 9,284.78 and 2,293.32

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Solution

The fourth proportional to 6,189.32, 9,284.78 and 2,293.32 is: 3,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.32 : 9,284.78 = 2,293.32 : x
  2. Step 2: Convert to fraction form
    6,189.32/9,284.78 = 2,293.32/x
  3. Step 3: Cross multiply
    6,189.32x = 9,284.78 × 2,293.32
  4. Step 4: Simplify right side
    6,189.32x = 21,292,971.67
  5. Step 5: Solve for x
    x = 21,292,971.67/6,189.32
  6. Step 6: Final answer
    x = 3,440.28

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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.