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Finding the Fourth Proportional to 9,580.44, 14,377.20 and 3,736.44

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Solution

The fourth proportional to 9,580.44, 14,377.20 and 3,736.44 is: 5,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.44 : 14,377.20 = 3,736.44 : x
  2. Step 2: Convert to fraction form
    9,580.44/14,377.20 = 3,736.44/x
  3. Step 3: Cross multiply
    9,580.44x = 14,377.20 × 3,736.44
  4. Step 4: Simplify right side
    9,580.44x = 53,719,545.17
  5. Step 5: Solve for x
    x = 53,719,545.17/9,580.44
  6. Step 6: Final answer
    x = 5,607.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.