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Finding the Fourth Proportional to 9,196.88, 13,796.58 and 2,955.41

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Solution

The fourth proportional to 9,196.88, 13,796.58 and 2,955.41 is: 4,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.88 : 13,796.58 = 2,955.41 : x
  2. Step 2: Convert to fraction form
    9,196.88/13,796.58 = 2,955.41/x
  3. Step 3: Cross multiply
    9,196.88x = 13,796.58 × 2,955.41
  4. Step 4: Simplify right side
    9,196.88x = 40,774,550.50
  5. Step 5: Solve for x
    x = 40,774,550.50/9,196.88
  6. Step 6: Final answer
    x = 4,433.52

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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.