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Finding the Fourth Proportional to 9,551.32, 13,181.34 and 5,359.48

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Solution

The fourth proportional to 9,551.32, 13,181.34 and 5,359.48 is: 7,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.32 : 13,181.34 = 5,359.48 : x
  2. Step 2: Convert to fraction form
    9,551.32/13,181.34 = 5,359.48/x
  3. Step 3: Cross multiply
    9,551.32x = 13,181.34 × 5,359.48
  4. Step 4: Simplify right side
    9,551.32x = 70,645,128.10
  5. Step 5: Solve for x
    x = 70,645,128.10/9,551.32
  6. Step 6: Final answer
    x = 7,396.37

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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.