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Finding the Fourth Proportional to 9,799.81, 13,523.76 and 5,323.53

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Solution

The fourth proportional to 9,799.81, 13,523.76 and 5,323.53 is: 7,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.81 : 13,523.76 = 5,323.53 : x
  2. Step 2: Convert to fraction form
    9,799.81/13,523.76 = 5,323.53/x
  3. Step 3: Cross multiply
    9,799.81x = 13,523.76 × 5,323.53
  4. Step 4: Simplify right side
    9,799.81x = 71,994,074.45
  5. Step 5: Solve for x
    x = 71,994,074.45/9,799.81
  6. Step 6: Final answer
    x = 7,346.48

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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.