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Finding the Fourth Proportional to 6,509.21, 9,766.76 and 2,559.38

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Solution

The fourth proportional to 6,509.21, 9,766.76 and 2,559.38 is: 3,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.21 : 9,766.76 = 2,559.38 : x
  2. Step 2: Convert to fraction form
    6,509.21/9,766.76 = 2,559.38/x
  3. Step 3: Cross multiply
    6,509.21x = 9,766.76 × 2,559.38
  4. Step 4: Simplify right side
    6,509.21x = 24,996,788.58
  5. Step 5: Solve for x
    x = 24,996,788.58/6,509.21
  6. Step 6: Final answer
    x = 3,840.22

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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.