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Finding the Fourth Proportional to 27,637, 41,455.62 and 9,169

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Solution

The fourth proportional to 27,637, 41,455.62 and 9,169 is: 13,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637 : 41,455.62 = 9,169 : x
  2. Step 2: Convert to fraction form
    27,637/41,455.62 = 9,169/x
  3. Step 3: Cross multiply
    27,637x = 41,455.62 × 9,169
  4. Step 4: Simplify right side
    27,637x = 380,106,579.78
  5. Step 5: Solve for x
    x = 380,106,579.78/27,637
  6. Step 6: Final answer
    x = 13,753.54

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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.