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Finding the Fourth Proportional to 6,459.16, 9,690.64 and 3,340.92

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Solution

The fourth proportional to 6,459.16, 9,690.64 and 3,340.92 is: 5,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.16 : 9,690.64 = 3,340.92 : x
  2. Step 2: Convert to fraction form
    6,459.16/9,690.64 = 3,340.92/x
  3. Step 3: Cross multiply
    6,459.16x = 9,690.64 × 3,340.92
  4. Step 4: Simplify right side
    6,459.16x = 32,375,652.99
  5. Step 5: Solve for x
    x = 32,375,652.99/6,459.16
  6. Step 6: Final answer
    x = 5,012.36

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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.