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Finding the Fourth Proportional to 9,799.60, 13,523.48 and 5,323.36

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Solution

The fourth proportional to 9,799.60, 13,523.48 and 5,323.36 is: 7,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.60 : 13,523.48 = 5,323.36 : x
  2. Step 2: Convert to fraction form
    9,799.60/13,523.48 = 5,323.36/x
  3. Step 3: Cross multiply
    9,799.60x = 13,523.48 × 5,323.36
  4. Step 4: Simplify right side
    9,799.60x = 71,990,352.49
  5. Step 5: Solve for x
    x = 71,990,352.49/9,799.60
  6. Step 6: Final answer
    x = 7,346.25

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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.