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Finding the Fourth Proportional to 9,808.07, 14,707.49 and 3,563.68

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Solution

The fourth proportional to 9,808.07, 14,707.49 and 3,563.68 is: 5,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.07 : 14,707.49 = 3,563.68 : x
  2. Step 2: Convert to fraction form
    9,808.07/14,707.49 = 3,563.68/x
  3. Step 3: Cross multiply
    9,808.07x = 14,707.49 × 3,563.68
  4. Step 4: Simplify right side
    9,808.07x = 52,412,770.14
  5. Step 5: Solve for x
    x = 52,412,770.14/9,808.07
  6. Step 6: Final answer
    x = 5,343.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.