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Finding the Fourth Proportional to 6,729.31, 9,255.54 and 5,400.10

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Solution

The fourth proportional to 6,729.31, 9,255.54 and 5,400.10 is: 7,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.31 : 9,255.54 = 5,400.10 : x
  2. Step 2: Convert to fraction form
    6,729.31/9,255.54 = 5,400.10/x
  3. Step 3: Cross multiply
    6,729.31x = 9,255.54 × 5,400.10
  4. Step 4: Simplify right side
    6,729.31x = 49,980,841.55
  5. Step 5: Solve for x
    x = 49,980,841.55/6,729.31
  6. Step 6: Final answer
    x = 7,427.34

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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.