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Finding the Fourth Proportional to 9,613.46, 14,411.60 and 5,173.50

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Solution

The fourth proportional to 9,613.46, 14,411.60 and 5,173.50 is: 7,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.46 : 14,411.60 = 5,173.50 : x
  2. Step 2: Convert to fraction form
    9,613.46/14,411.60 = 5,173.50/x
  3. Step 3: Cross multiply
    9,613.46x = 14,411.60 × 5,173.50
  4. Step 4: Simplify right side
    9,613.46x = 74,558,324.03
  5. Step 5: Solve for x
    x = 74,558,324.03/9,613.46
  6. Step 6: Final answer
    x = 7,755.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.