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Finding the Fourth Proportional to 9,518.85, 14,269.64 and 3,679.83

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Solution

The fourth proportional to 9,518.85, 14,269.64 and 3,679.83 is: 5,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.85 : 14,269.64 = 3,679.83 : x
  2. Step 2: Convert to fraction form
    9,518.85/14,269.64 = 3,679.83/x
  3. Step 3: Cross multiply
    9,518.85x = 14,269.64 × 3,679.83
  4. Step 4: Simplify right side
    9,518.85x = 52,509,830.96
  5. Step 5: Solve for x
    x = 52,509,830.96/9,518.85
  6. Step 6: Final answer
    x = 5,516.40

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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.