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Finding the Fourth Proportional to 6,137.32, 9,203.94 and 1,976.35

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Solution

The fourth proportional to 6,137.32, 9,203.94 and 1,976.35 is: 2,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.32 : 9,203.94 = 1,976.35 : x
  2. Step 2: Convert to fraction form
    6,137.32/9,203.94 = 1,976.35/x
  3. Step 3: Cross multiply
    6,137.32x = 9,203.94 × 1,976.35
  4. Step 4: Simplify right side
    6,137.32x = 18,190,206.82
  5. Step 5: Solve for x
    x = 18,190,206.82/6,137.32
  6. Step 6: Final answer
    x = 2,963.87

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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.