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Finding the Fourth Proportional to 6,342.90, 8,756.26 and 4,221.96

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Solution

The fourth proportional to 6,342.90, 8,756.26 and 4,221.96 is: 5,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.90 : 8,756.26 = 4,221.96 : x
  2. Step 2: Convert to fraction form
    6,342.90/8,756.26 = 4,221.96/x
  3. Step 3: Cross multiply
    6,342.90x = 8,756.26 × 4,221.96
  4. Step 4: Simplify right side
    6,342.90x = 36,968,568.91
  5. Step 5: Solve for x
    x = 36,968,568.91/6,342.90
  6. Step 6: Final answer
    x = 5,828.34

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