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Finding the Fourth Proportional to 9,177, 12,658.50 and 7,318.44

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Solution

The fourth proportional to 9,177, 12,658.50 and 7,318.44 is: 10,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177 : 12,658.50 = 7,318.44 : x
  2. Step 2: Convert to fraction form
    9,177/12,658.50 = 7,318.44/x
  3. Step 3: Cross multiply
    9,177x = 12,658.50 × 7,318.44
  4. Step 4: Simplify right side
    9,177x = 92,640,472.74
  5. Step 5: Solve for x
    x = 92,640,472.74/9,177
  6. Step 6: Final answer
    x = 10,094.85

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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.