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Finding the Fourth Proportional to 9,176.57, 12,651.39 and 7,294.40

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Solution

The fourth proportional to 9,176.57, 12,651.39 and 7,294.40 is: 10,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.57 : 12,651.39 = 7,294.40 : x
  2. Step 2: Convert to fraction form
    9,176.57/12,651.39 = 7,294.40/x
  3. Step 3: Cross multiply
    9,176.57x = 12,651.39 × 7,294.40
  4. Step 4: Simplify right side
    9,176.57x = 92,284,299.22
  5. Step 5: Solve for x
    x = 92,284,299.22/9,176.57
  6. Step 6: Final answer
    x = 10,056.51

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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.