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Finding the Fourth Proportional to 9,809.25, 14,720.49 and 3,653.25

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Solution

The fourth proportional to 9,809.25, 14,720.49 and 3,653.25 is: 5,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.25 : 14,720.49 = 3,653.25 : x
  2. Step 2: Convert to fraction form
    9,809.25/14,720.49 = 3,653.25/x
  3. Step 3: Cross multiply
    9,809.25x = 14,720.49 × 3,653.25
  4. Step 4: Simplify right side
    9,809.25x = 53,777,630.09
  5. Step 5: Solve for x
    x = 53,777,630.09/9,809.25
  6. Step 6: Final answer
    x = 5,482.34

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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.