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Finding the Fourth Proportional to 6,196.32, 9,293.76 and 2,300.28

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Solution

The fourth proportional to 6,196.32, 9,293.76 and 2,300.28 is: 3,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.32 : 9,293.76 = 2,300.28 : x
  2. Step 2: Convert to fraction form
    6,196.32/9,293.76 = 2,300.28/x
  3. Step 3: Cross multiply
    6,196.32x = 9,293.76 × 2,300.28
  4. Step 4: Simplify right side
    6,196.32x = 21,378,250.25
  5. Step 5: Solve for x
    x = 21,378,250.25/6,196.32
  6. Step 6: Final answer
    x = 3,450.15

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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.