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Finding the Fourth Proportional to 6,509.12, 9,765.30 and 2,617.88

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Solution

The fourth proportional to 6,509.12, 9,765.30 and 2,617.88 is: 3,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.12 : 9,765.30 = 2,617.88 : x
  2. Step 2: Convert to fraction form
    6,509.12/9,765.30 = 2,617.88/x
  3. Step 3: Cross multiply
    6,509.12x = 9,765.30 × 2,617.88
  4. Step 4: Simplify right side
    6,509.12x = 25,564,383.56
  5. Step 5: Solve for x
    x = 25,564,383.56/6,509.12
  6. Step 6: Final answer
    x = 3,927.47

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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.