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Finding the Fourth Proportional to 9,799.71, 13,522.02 and 6,021.66

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Solution

The fourth proportional to 9,799.71, 13,522.02 and 6,021.66 is: 8,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.71 : 13,522.02 = 6,021.66 : x
  2. Step 2: Convert to fraction form
    9,799.71/13,522.02 = 6,021.66/x
  3. Step 3: Cross multiply
    9,799.71x = 13,522.02 × 6,021.66
  4. Step 4: Simplify right side
    9,799.71x = 81,425,006.95
  5. Step 5: Solve for x
    x = 81,425,006.95/9,799.71
  6. Step 6: Final answer
    x = 8,308.92

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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.