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Finding the Fourth Proportional to 9,403.75, 12,977.99 and 5,212.81

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Solution

The fourth proportional to 9,403.75, 12,977.99 and 5,212.81 is: 7,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.75 : 12,977.99 = 5,212.81 : x
  2. Step 2: Convert to fraction form
    9,403.75/12,977.99 = 5,212.81/x
  3. Step 3: Cross multiply
    9,403.75x = 12,977.99 × 5,212.81
  4. Step 4: Simplify right side
    9,403.75x = 67,651,796.05
  5. Step 5: Solve for x
    x = 67,651,796.05/9,403.75
  6. Step 6: Final answer
    x = 7,194.13

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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.