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Finding the Fourth Proportional to 9,835.42, 13,566.68 and 5,853.56

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Solution

The fourth proportional to 9,835.42, 13,566.68 and 5,853.56 is: 8,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.42 : 13,566.68 = 5,853.56 : x
  2. Step 2: Convert to fraction form
    9,835.42/13,566.68 = 5,853.56/x
  3. Step 3: Cross multiply
    9,835.42x = 13,566.68 × 5,853.56
  4. Step 4: Simplify right side
    9,835.42x = 79,413,375.38
  5. Step 5: Solve for x
    x = 79,413,375.38/9,835.42
  6. Step 6: Final answer
    x = 8,074.22

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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.