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Finding the Fourth Proportional to 9,660.83, 14,496.68 and 5,218.43

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Solution

The fourth proportional to 9,660.83, 14,496.68 and 5,218.43 is: 7,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.83 : 14,496.68 = 5,218.43 : x
  2. Step 2: Convert to fraction form
    9,660.83/14,496.68 = 5,218.43/x
  3. Step 3: Cross multiply
    9,660.83x = 14,496.68 × 5,218.43
  4. Step 4: Simplify right side
    9,660.83x = 75,649,959.10
  5. Step 5: Solve for x
    x = 75,649,959.10/9,660.83
  6. Step 6: Final answer
    x = 7,830.59

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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.