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Finding the Fourth Proportional to 6,412.60, 9,620.14 and 2,463.56

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Solution

The fourth proportional to 6,412.60, 9,620.14 and 2,463.56 is: 3,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.60 : 9,620.14 = 2,463.56 : x
  2. Step 2: Convert to fraction form
    6,412.60/9,620.14 = 2,463.56/x
  3. Step 3: Cross multiply
    6,412.60x = 9,620.14 × 2,463.56
  4. Step 4: Simplify right side
    6,412.60x = 23,699,809.99
  5. Step 5: Solve for x
    x = 23,699,809.99/6,412.60
  6. Step 6: Final answer
    x = 3,695.82

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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.