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Finding the Fourth Proportional to 6,949.94, 9,595.42 and 6,202.64

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Solution

The fourth proportional to 6,949.94, 9,595.42 and 6,202.64 is: 8,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.94 : 9,595.42 = 6,202.64 : x
  2. Step 2: Convert to fraction form
    6,949.94/9,595.42 = 6,202.64/x
  3. Step 3: Cross multiply
    6,949.94x = 9,595.42 × 6,202.64
  4. Step 4: Simplify right side
    6,949.94x = 59,516,935.91
  5. Step 5: Solve for x
    x = 59,516,935.91/6,949.94
  6. Step 6: Final answer
    x = 8,563.66

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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.