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Finding the Fourth Proportional to 9,842.53, 14,763.79 and 3,599.84

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Solution

The fourth proportional to 9,842.53, 14,763.79 and 3,599.84 is: 5,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.53 : 14,763.79 = 3,599.84 : x
  2. Step 2: Convert to fraction form
    9,842.53/14,763.79 = 3,599.84/x
  3. Step 3: Cross multiply
    9,842.53x = 14,763.79 × 3,599.84
  4. Step 4: Simplify right side
    9,842.53x = 53,147,217.12
  5. Step 5: Solve for x
    x = 53,147,217.12/9,842.53
  6. Step 6: Final answer
    x = 5,399.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.