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Finding the Fourth Proportional to 9,808.62, 14,713.07 and 2,788.65

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Solution

The fourth proportional to 9,808.62, 14,713.07 and 2,788.65 is: 4,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.62 : 14,713.07 = 2,788.65 : x
  2. Step 2: Convert to fraction form
    9,808.62/14,713.07 = 2,788.65/x
  3. Step 3: Cross multiply
    9,808.62x = 14,713.07 × 2,788.65
  4. Step 4: Simplify right side
    9,808.62x = 41,029,602.66
  5. Step 5: Solve for x
    x = 41,029,602.66/9,808.62
  6. Step 6: Final answer
    x = 4,183.01

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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.