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Finding the Fourth Proportional to 6,505.86, 9,759.75 and 1,888.26

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Solution

The fourth proportional to 6,505.86, 9,759.75 and 1,888.26 is: 2,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.86 : 9,759.75 = 1,888.26 : x
  2. Step 2: Convert to fraction form
    6,505.86/9,759.75 = 1,888.26/x
  3. Step 3: Cross multiply
    6,505.86x = 9,759.75 × 1,888.26
  4. Step 4: Simplify right side
    6,505.86x = 18,428,945.54
  5. Step 5: Solve for x
    x = 18,428,945.54/6,505.86
  6. Step 6: Final answer
    x = 2,832.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.