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Finding the Fourth Proportional to 9,799.10, 13,522.21 and 5,765.30

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Solution

The fourth proportional to 9,799.10, 13,522.21 and 5,765.30 is: 7,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.10 : 13,522.21 = 5,765.30 : x
  2. Step 2: Convert to fraction form
    9,799.10/13,522.21 = 5,765.30/x
  3. Step 3: Cross multiply
    9,799.10x = 13,522.21 × 5,765.30
  4. Step 4: Simplify right side
    9,799.10x = 77,959,597.31
  5. Step 5: Solve for x
    x = 77,959,597.31/9,799.10
  6. Step 6: Final answer
    x = 7,955.79

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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.