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Finding the Fourth Proportional to 9,799.30, 13,522.80 and 5,322.95

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Solution

The fourth proportional to 9,799.30, 13,522.80 and 5,322.95 is: 7,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.30 : 13,522.80 = 5,322.95 : x
  2. Step 2: Convert to fraction form
    9,799.30/13,522.80 = 5,322.95/x
  3. Step 3: Cross multiply
    9,799.30x = 13,522.80 × 5,322.95
  4. Step 4: Simplify right side
    9,799.30x = 71,981,191.32
  5. Step 5: Solve for x
    x = 71,981,191.32/9,799.30
  6. Step 6: Final answer
    x = 7,345.55

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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.