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Finding the Fourth Proportional to 6,308.82, 9,463.32 and 5,135.91

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Solution

The fourth proportional to 6,308.82, 9,463.32 and 5,135.91 is: 7,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.82 : 9,463.32 = 5,135.91 : x
  2. Step 2: Convert to fraction form
    6,308.82/9,463.32 = 5,135.91/x
  3. Step 3: Cross multiply
    6,308.82x = 9,463.32 × 5,135.91
  4. Step 4: Simplify right side
    6,308.82x = 48,602,759.82
  5. Step 5: Solve for x
    x = 48,602,759.82/6,308.82
  6. Step 6: Final answer
    x = 7,703.94

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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.