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Finding the Fourth Proportional to 6,735.90, 9,295.74 and 3,751.98

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Solution

The fourth proportional to 6,735.90, 9,295.74 and 3,751.98 is: 5,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.90 : 9,295.74 = 3,751.98 : x
  2. Step 2: Convert to fraction form
    6,735.90/9,295.74 = 3,751.98/x
  3. Step 3: Cross multiply
    6,735.90x = 9,295.74 × 3,751.98
  4. Step 4: Simplify right side
    6,735.90x = 34,877,430.57
  5. Step 5: Solve for x
    x = 34,877,430.57/6,735.90
  6. Step 6: Final answer
    x = 5,177.84

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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.