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Finding the Fourth Proportional to 9,568.38, 13,205.60 and 5,376.63

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Solution

The fourth proportional to 9,568.38, 13,205.60 and 5,376.63 is: 7,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.38 : 13,205.60 = 5,376.63 : x
  2. Step 2: Convert to fraction form
    9,568.38/13,205.60 = 5,376.63/x
  3. Step 3: Cross multiply
    9,568.38x = 13,205.60 × 5,376.63
  4. Step 4: Simplify right side
    9,568.38x = 71,001,625.13
  5. Step 5: Solve for x
    x = 71,001,625.13/9,568.38
  6. Step 6: Final answer
    x = 7,420.44

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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.