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Finding the Fourth Proportional to 9,782.09, 13,498.92 and 5,800.82

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Solution

The fourth proportional to 9,782.09, 13,498.92 and 5,800.82 is: 8,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.09 : 13,498.92 = 5,800.82 : x
  2. Step 2: Convert to fraction form
    9,782.09/13,498.92 = 5,800.82/x
  3. Step 3: Cross multiply
    9,782.09x = 13,498.92 × 5,800.82
  4. Step 4: Simplify right side
    9,782.09x = 78,304,805.11
  5. Step 5: Solve for x
    x = 78,304,805.11/9,782.09
  6. Step 6: Final answer
    x = 8,004.92

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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.