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Finding the Fourth Proportional to 6,518.57, 9,778.68 and 3,186.93

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Solution

The fourth proportional to 6,518.57, 9,778.68 and 3,186.93 is: 4,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.57 : 9,778.68 = 3,186.93 : x
  2. Step 2: Convert to fraction form
    6,518.57/9,778.68 = 3,186.93/x
  3. Step 3: Cross multiply
    6,518.57x = 9,778.68 × 3,186.93
  4. Step 4: Simplify right side
    6,518.57x = 31,163,952.72
  5. Step 5: Solve for x
    x = 31,163,952.72/6,518.57
  6. Step 6: Final answer
    x = 4,780.80

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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.