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Finding the Fourth Proportional to 9,782.58, 13,504.17 and 6,006.36

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Solution

The fourth proportional to 9,782.58, 13,504.17 and 6,006.36 is: 8,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.58 : 13,504.17 = 6,006.36 : x
  2. Step 2: Convert to fraction form
    9,782.58/13,504.17 = 6,006.36/x
  3. Step 3: Cross multiply
    9,782.58x = 13,504.17 × 6,006.36
  4. Step 4: Simplify right side
    9,782.58x = 81,110,906.52
  5. Step 5: Solve for x
    x = 81,110,906.52/9,782.58
  6. Step 6: Final answer
    x = 8,291.36

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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.