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Finding the Fourth Proportional to 9,366, 14,048.40 and 3,521.86

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Solution

The fourth proportional to 9,366, 14,048.40 and 3,521.86 is: 5,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366 : 14,048.40 = 3,521.86 : x
  2. Step 2: Convert to fraction form
    9,366/14,048.40 = 3,521.86/x
  3. Step 3: Cross multiply
    9,366x = 14,048.40 × 3,521.86
  4. Step 4: Simplify right side
    9,366x = 49,476,498.02
  5. Step 5: Solve for x
    x = 49,476,498.02/9,366
  6. Step 6: Final answer
    x = 5,282.56

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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.