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Finding the Fourth Proportional to 9,377.29, 12,940.18 and 5,184.73

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Solution

The fourth proportional to 9,377.29, 12,940.18 and 5,184.73 is: 7,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.29 : 12,940.18 = 5,184.73 : x
  2. Step 2: Convert to fraction form
    9,377.29/12,940.18 = 5,184.73/x
  3. Step 3: Cross multiply
    9,377.29x = 12,940.18 × 5,184.73
  4. Step 4: Simplify right side
    9,377.29x = 67,091,339.45
  5. Step 5: Solve for x
    x = 67,091,339.45/9,377.29
  6. Step 6: Final answer
    x = 7,154.66

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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.