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Finding the Fourth Proportional to 9,369, 14,044.86 and 3,521.64

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Solution

The fourth proportional to 9,369, 14,044.86 and 3,521.64 is: 5,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369 : 14,044.86 = 3,521.64 : x
  2. Step 2: Convert to fraction form
    9,369/14,044.86 = 3,521.64/x
  3. Step 3: Cross multiply
    9,369x = 14,044.86 × 3,521.64
  4. Step 4: Simplify right side
    9,369x = 49,460,940.77
  5. Step 5: Solve for x
    x = 49,460,940.77/9,369
  6. Step 6: Final answer
    x = 5,279.21

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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.