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Finding the Fourth Proportional to 9,648.82, 14,482.14 and 5,958.28

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Solution

The fourth proportional to 9,648.82, 14,482.14 and 5,958.28 is: 8,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.82 : 14,482.14 = 5,958.28 : x
  2. Step 2: Convert to fraction form
    9,648.82/14,482.14 = 5,958.28/x
  3. Step 3: Cross multiply
    9,648.82x = 14,482.14 × 5,958.28
  4. Step 4: Simplify right side
    9,648.82x = 86,288,645.12
  5. Step 5: Solve for x
    x = 86,288,645.12/9,648.82
  6. Step 6: Final answer
    x = 8,942.92

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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.