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Finding the Fourth Proportional to 6,925.82, 10,338.81 and 6,433.74

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Solution

The fourth proportional to 6,925.82, 10,338.81 and 6,433.74 is: 9,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.82 : 10,338.81 = 6,433.74 : x
  2. Step 2: Convert to fraction form
    6,925.82/10,338.81 = 6,433.74/x
  3. Step 3: Cross multiply
    6,925.82x = 10,338.81 × 6,433.74
  4. Step 4: Simplify right side
    6,925.82x = 66,517,215.45
  5. Step 5: Solve for x
    x = 66,517,215.45/6,925.82
  6. Step 6: Final answer
    x = 9,604.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.