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Finding the Fourth Proportional to 6,409.46, 9,613.32 and 2,516.60

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Solution

The fourth proportional to 6,409.46, 9,613.32 and 2,516.60 is: 3,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.46 : 9,613.32 = 2,516.60 : x
  2. Step 2: Convert to fraction form
    6,409.46/9,613.32 = 2,516.60/x
  3. Step 3: Cross multiply
    6,409.46x = 9,613.32 × 2,516.60
  4. Step 4: Simplify right side
    6,409.46x = 24,192,881.11
  5. Step 5: Solve for x
    x = 24,192,881.11/6,409.46
  6. Step 6: Final answer
    x = 3,774.56

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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.