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Finding the Fourth Proportional to 9,958.26, 13,742.63 and 5,482.41

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Solution

The fourth proportional to 9,958.26, 13,742.63 and 5,482.41 is: 7,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.26 : 13,742.63 = 5,482.41 : x
  2. Step 2: Convert to fraction form
    9,958.26/13,742.63 = 5,482.41/x
  3. Step 3: Cross multiply
    9,958.26x = 13,742.63 × 5,482.41
  4. Step 4: Simplify right side
    9,958.26x = 75,342,732.14
  5. Step 5: Solve for x
    x = 75,342,732.14/9,958.26
  6. Step 6: Final answer
    x = 7,565.85

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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.