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Finding the Fourth Proportional to 6,300.36, 9,437.56 and 3,697

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Solution

The fourth proportional to 6,300.36, 9,437.56 and 3,697 is: 5,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.36 : 9,437.56 = 3,697 : x
  2. Step 2: Convert to fraction form
    6,300.36/9,437.56 = 3,697/x
  3. Step 3: Cross multiply
    6,300.36x = 9,437.56 × 3,697
  4. Step 4: Simplify right side
    6,300.36x = 34,890,659.32
  5. Step 5: Solve for x
    x = 34,890,659.32/6,300.36
  6. Step 6: Final answer
    x = 5,537.88

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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.