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Finding the Fourth Proportional to 6,416.85, 9,609.87 and 3,288.63

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Solution

The fourth proportional to 6,416.85, 9,609.87 and 3,288.63 is: 4,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.85 : 9,609.87 = 3,288.63 : x
  2. Step 2: Convert to fraction form
    6,416.85/9,609.87 = 3,288.63/x
  3. Step 3: Cross multiply
    6,416.85x = 9,609.87 × 3,288.63
  4. Step 4: Simplify right side
    6,416.85x = 31,603,306.78
  5. Step 5: Solve for x
    x = 31,603,306.78/6,416.85
  6. Step 6: Final answer
    x = 4,925.05

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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.