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Finding the Fourth Proportional to 6,911.86, 9,540.46 and 6,559.24

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Solution

The fourth proportional to 6,911.86, 9,540.46 and 6,559.24 is: 9,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.86 : 9,540.46 = 6,559.24 : x
  2. Step 2: Convert to fraction form
    6,911.86/9,540.46 = 6,559.24/x
  3. Step 3: Cross multiply
    6,911.86x = 9,540.46 × 6,559.24
  4. Step 4: Simplify right side
    6,911.86x = 62,578,166.85
  5. Step 5: Solve for x
    x = 62,578,166.85/6,911.86
  6. Step 6: Final answer
    x = 9,053.74

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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.