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Finding the Fourth Proportional to 9,172.82, 12,654.63 and 6,183.47

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Solution

The fourth proportional to 9,172.82, 12,654.63 and 6,183.47 is: 8,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.82 : 12,654.63 = 6,183.47 : x
  2. Step 2: Convert to fraction form
    9,172.82/12,654.63 = 6,183.47/x
  3. Step 3: Cross multiply
    9,172.82x = 12,654.63 × 6,183.47
  4. Step 4: Simplify right side
    9,172.82x = 78,249,461.69
  5. Step 5: Solve for x
    x = 78,249,461.69/9,172.82
  6. Step 6: Final answer
    x = 8,530.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.