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Finding the Fourth Proportional to 9,115.62, 12,579.72 and 5,341.50

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Solution

The fourth proportional to 9,115.62, 12,579.72 and 5,341.50 is: 7,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.62 : 12,579.72 = 5,341.50 : x
  2. Step 2: Convert to fraction form
    9,115.62/12,579.72 = 5,341.50/x
  3. Step 3: Cross multiply
    9,115.62x = 12,579.72 × 5,341.50
  4. Step 4: Simplify right side
    9,115.62x = 67,194,574.38
  5. Step 5: Solve for x
    x = 67,194,574.38/9,115.62
  6. Step 6: Final answer
    x = 7,371.37

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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.