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Finding the Fourth Proportional to 6,926.22, 9,558.14 and 3,782.41

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Solution

The fourth proportional to 6,926.22, 9,558.14 and 3,782.41 is: 5,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.22 : 9,558.14 = 3,782.41 : x
  2. Step 2: Convert to fraction form
    6,926.22/9,558.14 = 3,782.41/x
  3. Step 3: Cross multiply
    6,926.22x = 9,558.14 × 3,782.41
  4. Step 4: Simplify right side
    6,926.22x = 36,152,761.51
  5. Step 5: Solve for x
    x = 36,152,761.51/6,926.22
  6. Step 6: Final answer
    x = 5,219.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.