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Finding the Fourth Proportional to 9,767.88, 13,483.17 and 5,789.07

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Solution

The fourth proportional to 9,767.88, 13,483.17 and 5,789.07 is: 7,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.88 : 13,483.17 = 5,789.07 : x
  2. Step 2: Convert to fraction form
    9,767.88/13,483.17 = 5,789.07/x
  3. Step 3: Cross multiply
    9,767.88x = 13,483.17 × 5,789.07
  4. Step 4: Simplify right side
    9,767.88x = 78,055,014.95
  5. Step 5: Solve for x
    x = 78,055,014.95/9,767.88
  6. Step 6: Final answer
    x = 7,990.99

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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.