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Finding the Fourth Proportional to 9,535, 14,304.66 and 3,379

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Solution

The fourth proportional to 9,535, 14,304.66 and 3,379 is: 5,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535 : 14,304.66 = 3,379 : x
  2. Step 2: Convert to fraction form
    9,535/14,304.66 = 3,379/x
  3. Step 3: Cross multiply
    9,535x = 14,304.66 × 3,379
  4. Step 4: Simplify right side
    9,535x = 48,335,446.14
  5. Step 5: Solve for x
    x = 48,335,446.14/9,535
  6. Step 6: Final answer
    x = 5,069.27

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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.