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Finding the Fourth Proportional to 34,314.32, 51,469.95 and 9,354.37

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Solution

The fourth proportional to 34,314.32, 51,469.95 and 9,354.37 is: 14,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,314.32 : 51,469.95 = 9,354.37 : x
  2. Step 2: Convert to fraction form
    34,314.32/51,469.95 = 9,354.37/x
  3. Step 3: Cross multiply
    34,314.32x = 51,469.95 × 9,354.37
  4. Step 4: Simplify right side
    34,314.32x = 481,468,959.09
  5. Step 5: Solve for x
    x = 481,468,959.09/34,314.32
  6. Step 6: Final answer
    x = 14,031.14

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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.