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Finding the Fourth Proportional to 6,419.55, 9,630.27 and 3,459.54

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Solution

The fourth proportional to 6,419.55, 9,630.27 and 3,459.54 is: 5,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.55 : 9,630.27 = 3,459.54 : x
  2. Step 2: Convert to fraction form
    6,419.55/9,630.27 = 3,459.54/x
  3. Step 3: Cross multiply
    6,419.55x = 9,630.27 × 3,459.54
  4. Step 4: Simplify right side
    6,419.55x = 33,316,304.28
  5. Step 5: Solve for x
    x = 33,316,304.28/6,419.55
  6. Step 6: Final answer
    x = 5,189.82

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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.