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Finding the Fourth Proportional to 6,536.85, 9,806.72 and 2,376.77

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Solution

The fourth proportional to 6,536.85, 9,806.72 and 2,376.77 is: 3,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.85 : 9,806.72 = 2,376.77 : x
  2. Step 2: Convert to fraction form
    6,536.85/9,806.72 = 2,376.77/x
  3. Step 3: Cross multiply
    6,536.85x = 9,806.72 × 2,376.77
  4. Step 4: Simplify right side
    6,536.85x = 23,308,297.93
  5. Step 5: Solve for x
    x = 23,308,297.93/6,536.85
  6. Step 6: Final answer
    x = 3,565.68

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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.