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Finding the Fourth Proportional to 9,170.64, 13,753.08 and 3,905.60

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Solution

The fourth proportional to 9,170.64, 13,753.08 and 3,905.60 is: 5,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.64 : 13,753.08 = 3,905.60 : x
  2. Step 2: Convert to fraction form
    9,170.64/13,753.08 = 3,905.60/x
  3. Step 3: Cross multiply
    9,170.64x = 13,753.08 × 3,905.60
  4. Step 4: Simplify right side
    9,170.64x = 53,713,960.48
  5. Step 5: Solve for x
    x = 53,713,960.48/9,170.64
  6. Step 6: Final answer
    x = 5,857.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.