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Finding the Fourth Proportional to 9,377.45, 12,940.72 and 5,185.70

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Solution

The fourth proportional to 9,377.45, 12,940.72 and 5,185.70 is: 7,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.45 : 12,940.72 = 5,185.70 : x
  2. Step 2: Convert to fraction form
    9,377.45/12,940.72 = 5,185.70/x
  3. Step 3: Cross multiply
    9,377.45x = 12,940.72 × 5,185.70
  4. Step 4: Simplify right side
    9,377.45x = 67,106,614.04
  5. Step 5: Solve for x
    x = 67,106,614.04/9,377.45
  6. Step 6: Final answer
    x = 7,156.17

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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.