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Finding the Fourth Proportional to 9,797.41, 13,520.30 and 5,548.35

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Solution

The fourth proportional to 9,797.41, 13,520.30 and 5,548.35 is: 7,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.41 : 13,520.30 = 5,548.35 : x
  2. Step 2: Convert to fraction form
    9,797.41/13,520.30 = 5,548.35/x
  3. Step 3: Cross multiply
    9,797.41x = 13,520.30 × 5,548.35
  4. Step 4: Simplify right side
    9,797.41x = 75,015,370.38
  5. Step 5: Solve for x
    x = 75,015,370.38/9,797.41
  6. Step 6: Final answer
    x = 7,656.66

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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.