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Finding the Fourth Proportional to 6,617.82, 9,129.60 and 5,293.38

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Solution

The fourth proportional to 6,617.82, 9,129.60 and 5,293.38 is: 7,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.82 : 9,129.60 = 5,293.38 : x
  2. Step 2: Convert to fraction form
    6,617.82/9,129.60 = 5,293.38/x
  3. Step 3: Cross multiply
    6,617.82x = 9,129.60 × 5,293.38
  4. Step 4: Simplify right side
    6,617.82x = 48,326,442.05
  5. Step 5: Solve for x
    x = 48,326,442.05/6,617.82
  6. Step 6: Final answer
    x = 7,302.47

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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.