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Finding the Fourth Proportional to 9,183.98, 12,673.95 and 5,407.31

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Solution

The fourth proportional to 9,183.98, 12,673.95 and 5,407.31 is: 7,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.98 : 12,673.95 = 5,407.31 : x
  2. Step 2: Convert to fraction form
    9,183.98/12,673.95 = 5,407.31/x
  3. Step 3: Cross multiply
    9,183.98x = 12,673.95 × 5,407.31
  4. Step 4: Simplify right side
    9,183.98x = 68,531,987.98
  5. Step 5: Solve for x
    x = 68,531,987.98/9,183.98
  6. Step 6: Final answer
    x = 7,462.12

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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.