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Finding the Fourth Proportional to 9,755.09, 13,461.99 and 5,278.92

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Solution

The fourth proportional to 9,755.09, 13,461.99 and 5,278.92 is: 7,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.09 : 13,461.99 = 5,278.92 : x
  2. Step 2: Convert to fraction form
    9,755.09/13,461.99 = 5,278.92/x
  3. Step 3: Cross multiply
    9,755.09x = 13,461.99 × 5,278.92
  4. Step 4: Simplify right side
    9,755.09x = 71,064,768.25
  5. Step 5: Solve for x
    x = 71,064,768.25/9,755.09
  6. Step 6: Final answer
    x = 7,284.89

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