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Finding the Fourth Proportional to 6,278.27, 8,642.26 and 5,427.13

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Solution

The fourth proportional to 6,278.27, 8,642.26 and 5,427.13 is: 7,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.27 : 8,642.26 = 5,427.13 : x
  2. Step 2: Convert to fraction form
    6,278.27/8,642.26 = 5,427.13/x
  3. Step 3: Cross multiply
    6,278.27x = 8,642.26 × 5,427.13
  4. Step 4: Simplify right side
    6,278.27x = 46,902,598.17
  5. Step 5: Solve for x
    x = 46,902,598.17/6,278.27
  6. Step 6: Final answer
    x = 7,470.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.