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Finding the Fourth Proportional to 9,287.69, 13,934.27 and 3,442.94

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Solution

The fourth proportional to 9,287.69, 13,934.27 and 3,442.94 is: 5,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.69 : 13,934.27 = 3,442.94 : x
  2. Step 2: Convert to fraction form
    9,287.69/13,934.27 = 3,442.94/x
  3. Step 3: Cross multiply
    9,287.69x = 13,934.27 × 3,442.94
  4. Step 4: Simplify right side
    9,287.69x = 47,974,768.67
  5. Step 5: Solve for x
    x = 47,974,768.67/9,287.69
  6. Step 6: Final answer
    x = 5,165.42

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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.