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Finding the Fourth Proportional to 6,521.86, 9,782.27 and 1,841.68

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Solution

The fourth proportional to 6,521.86, 9,782.27 and 1,841.68 is: 2,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.86 : 9,782.27 = 1,841.68 : x
  2. Step 2: Convert to fraction form
    6,521.86/9,782.27 = 1,841.68/x
  3. Step 3: Cross multiply
    6,521.86x = 9,782.27 × 1,841.68
  4. Step 4: Simplify right side
    6,521.86x = 18,015,827.85
  5. Step 5: Solve for x
    x = 18,015,827.85/6,521.86
  6. Step 6: Final answer
    x = 2,762.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.