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Finding the Fourth Proportional to 9,553.15, 13,184.18 and 5,305.03

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Solution

The fourth proportional to 9,553.15, 13,184.18 and 5,305.03 is: 7,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.15 : 13,184.18 = 5,305.03 : x
  2. Step 2: Convert to fraction form
    9,553.15/13,184.18 = 5,305.03/x
  3. Step 3: Cross multiply
    9,553.15x = 13,184.18 × 5,305.03
  4. Step 4: Simplify right side
    9,553.15x = 69,942,470.43
  5. Step 5: Solve for x
    x = 69,942,470.43/9,553.15
  6. Step 6: Final answer
    x = 7,321.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.