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Finding the Fourth Proportional to 6,979.04, 9,633.96 and 4,184

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Solution

The fourth proportional to 6,979.04, 9,633.96 and 4,184 is: 5,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.04 : 9,633.96 = 4,184 : x
  2. Step 2: Convert to fraction form
    6,979.04/9,633.96 = 4,184/x
  3. Step 3: Cross multiply
    6,979.04x = 9,633.96 × 4,184
  4. Step 4: Simplify right side
    6,979.04x = 40,308,488.64
  5. Step 5: Solve for x
    x = 40,308,488.64/6,979.04
  6. Step 6: Final answer
    x = 5,775.65

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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.