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Finding the Fourth Proportional to 9,553.34, 13,182.13 and 5,464.84

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Solution

The fourth proportional to 9,553.34, 13,182.13 and 5,464.84 is: 7,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.34 : 13,182.13 = 5,464.84 : x
  2. Step 2: Convert to fraction form
    9,553.34/13,182.13 = 5,464.84/x
  3. Step 3: Cross multiply
    9,553.34x = 13,182.13 × 5,464.84
  4. Step 4: Simplify right side
    9,553.34x = 72,038,231.31
  5. Step 5: Solve for x
    x = 72,038,231.31/9,553.34
  6. Step 6: Final answer
    x = 7,540.63

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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.