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Finding the Fourth Proportional to 6,509.07, 9,765.15 and 2,126.52

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Solution

The fourth proportional to 6,509.07, 9,765.15 and 2,126.52 is: 3,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.07 : 9,765.15 = 2,126.52 : x
  2. Step 2: Convert to fraction form
    6,509.07/9,765.15 = 2,126.52/x
  3. Step 3: Cross multiply
    6,509.07x = 9,765.15 × 2,126.52
  4. Step 4: Simplify right side
    6,509.07x = 20,765,786.78
  5. Step 5: Solve for x
    x = 20,765,786.78/6,509.07
  6. Step 6: Final answer
    x = 3,190.28

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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.