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Finding the Fourth Proportional to 9,329.38, 12,874.48 and 5,137.63

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Solution

The fourth proportional to 9,329.38, 12,874.48 and 5,137.63 is: 7,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.38 : 12,874.48 = 5,137.63 : x
  2. Step 2: Convert to fraction form
    9,329.38/12,874.48 = 5,137.63/x
  3. Step 3: Cross multiply
    9,329.38x = 12,874.48 × 5,137.63
  4. Step 4: Simplify right side
    9,329.38x = 66,144,269.65
  5. Step 5: Solve for x
    x = 66,144,269.65/9,329.38
  6. Step 6: Final answer
    x = 7,089.89

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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.