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Finding the Fourth Proportional to 27,407.34, 41,111.28 and 9,637.20

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Solution

The fourth proportional to 27,407.34, 41,111.28 and 9,637.20 is: 14,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.34 : 41,111.28 = 9,637.20 : x
  2. Step 2: Convert to fraction form
    27,407.34/41,111.28 = 9,637.20/x
  3. Step 3: Cross multiply
    27,407.34x = 41,111.28 × 9,637.20
  4. Step 4: Simplify right side
    27,407.34x = 396,197,627.62
  5. Step 5: Solve for x
    x = 396,197,627.62/27,407.34
  6. Step 6: Final answer
    x = 14,455.89

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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.