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Finding the Fourth Proportional to 9,613.49, 14,418 and 3,688.34

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Solution

The fourth proportional to 9,613.49, 14,418 and 3,688.34 is: 5,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.49 : 14,418 = 3,688.34 : x
  2. Step 2: Convert to fraction form
    9,613.49/14,418 = 3,688.34/x
  3. Step 3: Cross multiply
    9,613.49x = 14,418 × 3,688.34
  4. Step 4: Simplify right side
    9,613.49x = 53,178,414.03
  5. Step 5: Solve for x
    x = 53,178,414.03/9,613.49
  6. Step 6: Final answer
    x = 5,531.65

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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.