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Finding the Fourth Proportional to 9,377.16, 12,940.74 and 5,185.56

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Solution

The fourth proportional to 9,377.16, 12,940.74 and 5,185.56 is: 7,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.16 : 12,940.74 = 5,185.56 : x
  2. Step 2: Convert to fraction form
    9,377.16/12,940.74 = 5,185.56/x
  3. Step 3: Cross multiply
    9,377.16x = 12,940.74 × 5,185.56
  4. Step 4: Simplify right side
    9,377.16x = 67,104,983.71
  5. Step 5: Solve for x
    x = 67,104,983.71/9,377.16
  6. Step 6: Final answer
    x = 7,156.22

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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.