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Finding the Fourth Proportional to 6,648.62, 9,176.91 and 4,129.31

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Solution

The fourth proportional to 6,648.62, 9,176.91 and 4,129.31 is: 5,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.62 : 9,176.91 = 4,129.31 : x
  2. Step 2: Convert to fraction form
    6,648.62/9,176.91 = 4,129.31/x
  3. Step 3: Cross multiply
    6,648.62x = 9,176.91 × 4,129.31
  4. Step 4: Simplify right side
    6,648.62x = 37,894,260.35
  5. Step 5: Solve for x
    x = 37,894,260.35/6,648.62
  6. Step 6: Final answer
    x = 5,699.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.