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Finding the Fourth Proportional to 9,115.87, 13,673.16 and 5,406.46

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Solution

The fourth proportional to 9,115.87, 13,673.16 and 5,406.46 is: 8,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.87 : 13,673.16 = 5,406.46 : x
  2. Step 2: Convert to fraction form
    9,115.87/13,673.16 = 5,406.46/x
  3. Step 3: Cross multiply
    9,115.87x = 13,673.16 × 5,406.46
  4. Step 4: Simplify right side
    9,115.87x = 73,923,392.61
  5. Step 5: Solve for x
    x = 73,923,392.61/9,115.87
  6. Step 6: Final answer
    x = 8,109.31

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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.