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Finding the Fourth Proportional to 34,422.83, 51,634.81 and 9,462.72

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Solution

The fourth proportional to 34,422.83, 51,634.81 and 9,462.72 is: 14,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,422.83 : 51,634.81 = 9,462.72 : x
  2. Step 2: Convert to fraction form
    34,422.83/51,634.81 = 9,462.72/x
  3. Step 3: Cross multiply
    34,422.83x = 51,634.81 × 9,462.72
  4. Step 4: Simplify right side
    34,422.83x = 488,605,749.28
  5. Step 5: Solve for x
    x = 488,605,749.28/34,422.83
  6. Step 6: Final answer
    x = 14,194.24

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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.