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Finding the Fourth Proportional to 6,708.26, 9,260.73 and 4,191.77

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Solution

The fourth proportional to 6,708.26, 9,260.73 and 4,191.77 is: 5,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.26 : 9,260.73 = 4,191.77 : x
  2. Step 2: Convert to fraction form
    6,708.26/9,260.73 = 4,191.77/x
  3. Step 3: Cross multiply
    6,708.26x = 9,260.73 × 4,191.77
  4. Step 4: Simplify right side
    6,708.26x = 38,818,803.89
  5. Step 5: Solve for x
    x = 38,818,803.89/6,708.26
  6. Step 6: Final answer
    x = 5,786.72

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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.