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Finding the Fourth Proportional to 9,165.56, 13,748.40 and 3,322.40

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Solution

The fourth proportional to 9,165.56, 13,748.40 and 3,322.40 is: 4,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.56 : 13,748.40 = 3,322.40 : x
  2. Step 2: Convert to fraction form
    9,165.56/13,748.40 = 3,322.40/x
  3. Step 3: Cross multiply
    9,165.56x = 13,748.40 × 3,322.40
  4. Step 4: Simplify right side
    9,165.56x = 45,677,684.16
  5. Step 5: Solve for x
    x = 45,677,684.16/9,165.56
  6. Step 6: Final answer
    x = 4,983.62

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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.