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Finding the Fourth Proportional to 6,273.32, 9,407.16 and 1,889.84

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Solution

The fourth proportional to 6,273.32, 9,407.16 and 1,889.84 is: 2,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.32 : 9,407.16 = 1,889.84 : x
  2. Step 2: Convert to fraction form
    6,273.32/9,407.16 = 1,889.84/x
  3. Step 3: Cross multiply
    6,273.32x = 9,407.16 × 1,889.84
  4. Step 4: Simplify right side
    6,273.32x = 17,778,027.25
  5. Step 5: Solve for x
    x = 17,778,027.25/6,273.32
  6. Step 6: Final answer
    x = 2,833.91

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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.