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Finding the Fourth Proportional to 9,076.38, 12,515.91 and 7,184.94

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Solution

The fourth proportional to 9,076.38, 12,515.91 and 7,184.94 is: 9,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.38 : 12,515.91 = 7,184.94 : x
  2. Step 2: Convert to fraction form
    9,076.38/12,515.91 = 7,184.94/x
  3. Step 3: Cross multiply
    9,076.38x = 12,515.91 × 7,184.94
  4. Step 4: Simplify right side
    9,076.38x = 89,926,062.40
  5. Step 5: Solve for x
    x = 89,926,062.40/9,076.38
  6. Step 6: Final answer
    x = 9,907.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.