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Finding the Fourth Proportional to 6,419.63, 9,628.23 and 3,129.41

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Solution

The fourth proportional to 6,419.63, 9,628.23 and 3,129.41 is: 4,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.63 : 9,628.23 = 3,129.41 : x
  2. Step 2: Convert to fraction form
    6,419.63/9,628.23 = 3,129.41/x
  3. Step 3: Cross multiply
    6,419.63x = 9,628.23 × 3,129.41
  4. Step 4: Simplify right side
    6,419.63x = 30,130,679.24
  5. Step 5: Solve for x
    x = 30,130,679.24/6,419.63
  6. Step 6: Final answer
    x = 4,693.52

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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.