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Finding the Fourth Proportional to 6,270.42, 9,407.19 and 1,887.96

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Solution

The fourth proportional to 6,270.42, 9,407.19 and 1,887.96 is: 2,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.42 : 9,407.19 = 1,887.96 : x
  2. Step 2: Convert to fraction form
    6,270.42/9,407.19 = 1,887.96/x
  3. Step 3: Cross multiply
    6,270.42x = 9,407.19 × 1,887.96
  4. Step 4: Simplify right side
    6,270.42x = 17,760,398.43
  5. Step 5: Solve for x
    x = 17,760,398.43/6,270.42
  6. Step 6: Final answer
    x = 2,832.41

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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.