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Finding the Fourth Proportional to 6,412.63, 9,620.34 and 2,030.13

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Solution

The fourth proportional to 6,412.63, 9,620.34 and 2,030.13 is: 3,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.63 : 9,620.34 = 2,030.13 : x
  2. Step 2: Convert to fraction form
    6,412.63/9,620.34 = 2,030.13/x
  3. Step 3: Cross multiply
    6,412.63x = 9,620.34 × 2,030.13
  4. Step 4: Simplify right side
    6,412.63x = 19,530,540.84
  5. Step 5: Solve for x
    x = 19,530,540.84/6,412.63
  6. Step 6: Final answer
    x = 3,045.64

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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.