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Finding the Fourth Proportional to 9,482.09, 14,220.50 and 2,904.62

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Solution

The fourth proportional to 9,482.09, 14,220.50 and 2,904.62 is: 4,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.09 : 14,220.50 = 2,904.62 : x
  2. Step 2: Convert to fraction form
    9,482.09/14,220.50 = 2,904.62/x
  3. Step 3: Cross multiply
    9,482.09x = 14,220.50 × 2,904.62
  4. Step 4: Simplify right side
    9,482.09x = 41,305,063.08
  5. Step 5: Solve for x
    x = 41,305,063.08/9,482.09
  6. Step 6: Final answer
    x = 4,356.12

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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.