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Finding the Fourth Proportional to 6,459.16, 9,690.63 and 3,340.94

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Solution

The fourth proportional to 6,459.16, 9,690.63 and 3,340.94 is: 5,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.16 : 9,690.63 = 3,340.94 : x
  2. Step 2: Convert to fraction form
    6,459.16/9,690.63 = 3,340.94/x
  3. Step 3: Cross multiply
    6,459.16x = 9,690.63 × 3,340.94
  4. Step 4: Simplify right side
    6,459.16x = 32,375,813.39
  5. Step 5: Solve for x
    x = 32,375,813.39/6,459.16
  6. Step 6: Final answer
    x = 5,012.39

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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.