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Finding the Fourth Proportional to 6,650.86, 9,182.82 and 4,134.10

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Solution

The fourth proportional to 6,650.86, 9,182.82 and 4,134.10 is: 5,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.86 : 9,182.82 = 4,134.10 : x
  2. Step 2: Convert to fraction form
    6,650.86/9,182.82 = 4,134.10/x
  3. Step 3: Cross multiply
    6,650.86x = 9,182.82 × 4,134.10
  4. Step 4: Simplify right side
    6,650.86x = 37,962,696.16
  5. Step 5: Solve for x
    x = 37,962,696.16/6,650.86
  6. Step 6: Final answer
    x = 5,707.94

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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.