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Finding the Fourth Proportional to 6,406.60, 9,612.24 and 2,513.68

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Solution

The fourth proportional to 6,406.60, 9,612.24 and 2,513.68 is: 3,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.60 : 9,612.24 = 2,513.68 : x
  2. Step 2: Convert to fraction form
    6,406.60/9,612.24 = 2,513.68/x
  3. Step 3: Cross multiply
    6,406.60x = 9,612.24 × 2,513.68
  4. Step 4: Simplify right side
    6,406.60x = 24,162,095.44
  5. Step 5: Solve for x
    x = 24,162,095.44/6,406.60
  6. Step 6: Final answer
    x = 3,771.44

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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.