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Finding the Fourth Proportional to 9,799.68, 14,700.56 and 3,561.60

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Solution

The fourth proportional to 9,799.68, 14,700.56 and 3,561.60 is: 5,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.68 : 14,700.56 = 3,561.60 : x
  2. Step 2: Convert to fraction form
    9,799.68/14,700.56 = 3,561.60/x
  3. Step 3: Cross multiply
    9,799.68x = 14,700.56 × 3,561.60
  4. Step 4: Simplify right side
    9,799.68x = 52,357,514.50
  5. Step 5: Solve for x
    x = 52,357,514.50/9,799.68
  6. Step 6: Final answer
    x = 5,342.78

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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.