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Finding the Fourth Proportional to 6,308.82, 9,477 and 5,423.08

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Solution

The fourth proportional to 6,308.82, 9,477 and 5,423.08 is: 8,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.82 : 9,477 = 5,423.08 : x
  2. Step 2: Convert to fraction form
    6,308.82/9,477 = 5,423.08/x
  3. Step 3: Cross multiply
    6,308.82x = 9,477 × 5,423.08
  4. Step 4: Simplify right side
    6,308.82x = 51,394,529.16
  5. Step 5: Solve for x
    x = 51,394,529.16/6,308.82
  6. Step 6: Final answer
    x = 8,146.46

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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.