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Finding the Fourth Proportional to 9,396, 14,079.36 and 3,549.42

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Solution

The fourth proportional to 9,396, 14,079.36 and 3,549.42 is: 5,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396 : 14,079.36 = 3,549.42 : x
  2. Step 2: Convert to fraction form
    9,396/14,079.36 = 3,549.42/x
  3. Step 3: Cross multiply
    9,396x = 14,079.36 × 3,549.42
  4. Step 4: Simplify right side
    9,396x = 49,973,561.97
  5. Step 5: Solve for x
    x = 49,973,561.97/9,396
  6. Step 6: Final answer
    x = 5,318.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.