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Finding the Fourth Proportional to 6,459.85, 9,690.38 and 2,511.41

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Solution

The fourth proportional to 6,459.85, 9,690.38 and 2,511.41 is: 3,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.85 : 9,690.38 = 2,511.41 : x
  2. Step 2: Convert to fraction form
    6,459.85/9,690.38 = 2,511.41/x
  3. Step 3: Cross multiply
    6,459.85x = 9,690.38 × 2,511.41
  4. Step 4: Simplify right side
    6,459.85x = 24,336,534.28
  5. Step 5: Solve for x
    x = 24,336,534.28/6,459.85
  6. Step 6: Final answer
    x = 3,767.36

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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.