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Finding the Fourth Proportional to 9,799.24, 13,523.07 and 5,323.03

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Solution

The fourth proportional to 9,799.24, 13,523.07 and 5,323.03 is: 7,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.24 : 13,523.07 = 5,323.03 : x
  2. Step 2: Convert to fraction form
    9,799.24/13,523.07 = 5,323.03/x
  3. Step 3: Cross multiply
    9,799.24x = 13,523.07 × 5,323.03
  4. Step 4: Simplify right side
    9,799.24x = 71,983,707.30
  5. Step 5: Solve for x
    x = 71,983,707.30/9,799.24
  6. Step 6: Final answer
    x = 7,345.85

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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.