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Finding the Fourth Proportional to 9,108.81, 13,667.54 and 5,418.32

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Solution

The fourth proportional to 9,108.81, 13,667.54 and 5,418.32 is: 8,130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.81 : 13,667.54 = 5,418.32 : x
  2. Step 2: Convert to fraction form
    9,108.81/13,667.54 = 5,418.32/x
  3. Step 3: Cross multiply
    9,108.81x = 13,667.54 × 5,418.32
  4. Step 4: Simplify right side
    9,108.81x = 74,055,009.90
  5. Step 5: Solve for x
    x = 74,055,009.90/9,108.81
  6. Step 6: Final answer
    x = 8,130.04

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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.