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Finding the Fourth Proportional to 9,842.75, 14,764.22 and 3,088.35

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Solution

The fourth proportional to 9,842.75, 14,764.22 and 3,088.35 is: 4,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.75 : 14,764.22 = 3,088.35 : x
  2. Step 2: Convert to fraction form
    9,842.75/14,764.22 = 3,088.35/x
  3. Step 3: Cross multiply
    9,842.75x = 14,764.22 × 3,088.35
  4. Step 4: Simplify right side
    9,842.75x = 45,597,063.40
  5. Step 5: Solve for x
    x = 45,597,063.40/9,842.75
  6. Step 6: Final answer
    x = 4,632.56

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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.