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Finding the Fourth Proportional to 9,684, 13,357.68 and 5,958.24

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Solution

The fourth proportional to 9,684, 13,357.68 and 5,958.24 is: 8,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 13,357.68 = 5,958.24 : x
  2. Step 2: Convert to fraction form
    9,684/13,357.68 = 5,958.24/x
  3. Step 3: Cross multiply
    9,684x = 13,357.68 × 5,958.24
  4. Step 4: Simplify right side
    9,684x = 79,588,263.28
  5. Step 5: Solve for x
    x = 79,588,263.28/9,684
  6. Step 6: Final answer
    x = 8,218.53

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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.