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Finding the Fourth Proportional to 27,802.78, 41,708.43 and 9,339.10

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Solution

The fourth proportional to 27,802.78, 41,708.43 and 9,339.10 is: 14,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.78 : 41,708.43 = 9,339.10 : x
  2. Step 2: Convert to fraction form
    27,802.78/41,708.43 = 9,339.10/x
  3. Step 3: Cross multiply
    27,802.78x = 41,708.43 × 9,339.10
  4. Step 4: Simplify right side
    27,802.78x = 389,519,198.61
  5. Step 5: Solve for x
    x = 389,519,198.61/27,802.78
  6. Step 6: Final answer
    x = 14,010.08

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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.