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Finding the Fourth Proportional to 9,799.44, 13,523.10 and 5,323.14

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Solution

The fourth proportional to 9,799.44, 13,523.10 and 5,323.14 is: 7,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.44 : 13,523.10 = 5,323.14 : x
  2. Step 2: Convert to fraction form
    9,799.44/13,523.10 = 5,323.14/x
  3. Step 3: Cross multiply
    9,799.44x = 13,523.10 × 5,323.14
  4. Step 4: Simplify right side
    9,799.44x = 71,985,354.53
  5. Step 5: Solve for x
    x = 71,985,354.53/9,799.44
  6. Step 6: Final answer
    x = 7,345.86

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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.