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Finding the Fourth Proportional to 9,297.44, 13,947.60 and 3,140

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Solution

The fourth proportional to 9,297.44, 13,947.60 and 3,140 is: 4,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.44 : 13,947.60 = 3,140 : x
  2. Step 2: Convert to fraction form
    9,297.44/13,947.60 = 3,140/x
  3. Step 3: Cross multiply
    9,297.44x = 13,947.60 × 3,140
  4. Step 4: Simplify right side
    9,297.44x = 43,795,464
  5. Step 5: Solve for x
    x = 43,795,464/9,297.44
  6. Step 6: Final answer
    x = 4,710.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.