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Finding the Fourth Proportional to 9,678.16, 13,358.28 and 5,950

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Solution

The fourth proportional to 9,678.16, 13,358.28 and 5,950 is: 8,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.16 : 13,358.28 = 5,950 : x
  2. Step 2: Convert to fraction form
    9,678.16/13,358.28 = 5,950/x
  3. Step 3: Cross multiply
    9,678.16x = 13,358.28 × 5,950
  4. Step 4: Simplify right side
    9,678.16x = 79,481,766
  5. Step 5: Solve for x
    x = 79,481,766/9,678.16
  6. Step 6: Final answer
    x = 8,212.49

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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.