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Finding the Fourth Proportional to 9,108.64, 13,661.60 and 2,534.14

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Solution

The fourth proportional to 9,108.64, 13,661.60 and 2,534.14 is: 3,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.64 : 13,661.60 = 2,534.14 : x
  2. Step 2: Convert to fraction form
    9,108.64/13,661.60 = 2,534.14/x
  3. Step 3: Cross multiply
    9,108.64x = 13,661.60 × 2,534.14
  4. Step 4: Simplify right side
    9,108.64x = 34,620,407.02
  5. Step 5: Solve for x
    x = 34,620,407.02/9,108.64
  6. Step 6: Final answer
    x = 3,800.83

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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.