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Finding the Fourth Proportional to 6,842.26, 9,440.58 and 4,188.70

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Solution

The fourth proportional to 6,842.26, 9,440.58 and 4,188.70 is: 5,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.26 : 9,440.58 = 4,188.70 : x
  2. Step 2: Convert to fraction form
    6,842.26/9,440.58 = 4,188.70/x
  3. Step 3: Cross multiply
    6,842.26x = 9,440.58 × 4,188.70
  4. Step 4: Simplify right side
    6,842.26x = 39,543,757.45
  5. Step 5: Solve for x
    x = 39,543,757.45/6,842.26
  6. Step 6: Final answer
    x = 5,779.34

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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.