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Finding the Fourth Proportional to 6,911.26, 9,534.24 and 4,673.92

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Solution

The fourth proportional to 6,911.26, 9,534.24 and 4,673.92 is: 6,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.26 : 9,534.24 = 4,673.92 : x
  2. Step 2: Convert to fraction form
    6,911.26/9,534.24 = 4,673.92/x
  3. Step 3: Cross multiply
    6,911.26x = 9,534.24 × 4,673.92
  4. Step 4: Simplify right side
    6,911.26x = 44,562,275.02
  5. Step 5: Solve for x
    x = 44,562,275.02/6,911.26
  6. Step 6: Final answer
    x = 6,447.78

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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.