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Finding the Fourth Proportional to 7,012.91, 9,678.14 and 4,179.64

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Solution

The fourth proportional to 7,012.91, 9,678.14 and 4,179.64 is: 5,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.91 : 9,678.14 = 4,179.64 : x
  2. Step 2: Convert to fraction form
    7,012.91/9,678.14 = 4,179.64/x
  3. Step 3: Cross multiply
    7,012.91x = 9,678.14 × 4,179.64
  4. Step 4: Simplify right side
    7,012.91x = 40,451,141.07
  5. Step 5: Solve for x
    x = 40,451,141.07/7,012.91
  6. Step 6: Final answer
    x = 5,768.10

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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.