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Finding the Fourth Proportional to 9,613, 13,265.94 and 5,197

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Solution

The fourth proportional to 9,613, 13,265.94 and 5,197 is: 7,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613 : 13,265.94 = 5,197 : x
  2. Step 2: Convert to fraction form
    9,613/13,265.94 = 5,197/x
  3. Step 3: Cross multiply
    9,613x = 13,265.94 × 5,197
  4. Step 4: Simplify right side
    9,613x = 68,943,090.18
  5. Step 5: Solve for x
    x = 68,943,090.18/9,613
  6. Step 6: Final answer
    x = 7,171.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.