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Finding the Fourth Proportional to 9,558, 13,184.33 and 6,015.06

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Solution

The fourth proportional to 9,558, 13,184.33 and 6,015.06 is: 8,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 13,184.33 = 6,015.06 : x
  2. Step 2: Convert to fraction form
    9,558/13,184.33 = 6,015.06/x
  3. Step 3: Cross multiply
    9,558x = 13,184.33 × 6,015.06
  4. Step 4: Simplify right side
    9,558x = 79,304,505.93
  5. Step 5: Solve for x
    x = 79,304,505.93/9,558
  6. Step 6: Final answer
    x = 8,297.19

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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.