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Finding the Fourth Proportional to 6,291.81, 9,439.34 and 5,422.28

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Solution

The fourth proportional to 6,291.81, 9,439.34 and 5,422.28 is: 8,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.81 : 9,439.34 = 5,422.28 : x
  2. Step 2: Convert to fraction form
    6,291.81/9,439.34 = 5,422.28/x
  3. Step 3: Cross multiply
    6,291.81x = 9,439.34 × 5,422.28
  4. Step 4: Simplify right side
    6,291.81x = 51,182,670.19
  5. Step 5: Solve for x
    x = 51,182,670.19/6,291.81
  6. Step 6: Final answer
    x = 8,134.81

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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.