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Finding the Fourth Proportional to 6,735.99, 9,294.54 and 3,751.74

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Solution

The fourth proportional to 6,735.99, 9,294.54 and 3,751.74 is: 5,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.99 : 9,294.54 = 3,751.74 : x
  2. Step 2: Convert to fraction form
    6,735.99/9,294.54 = 3,751.74/x
  3. Step 3: Cross multiply
    6,735.99x = 9,294.54 × 3,751.74
  4. Step 4: Simplify right side
    6,735.99x = 34,870,697.50
  5. Step 5: Solve for x
    x = 34,870,697.50/6,735.99
  6. Step 6: Final answer
    x = 5,176.77

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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.