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Finding the Fourth Proportional to 9,809.24, 14,716.02 and 9,378.68

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Solution

The fourth proportional to 9,809.24, 14,716.02 and 9,378.68 is: 14,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.24 : 14,716.02 = 9,378.68 : x
  2. Step 2: Convert to fraction form
    9,809.24/14,716.02 = 9,378.68/x
  3. Step 3: Cross multiply
    9,809.24x = 14,716.02 × 9,378.68
  4. Step 4: Simplify right side
    9,809.24x = 138,016,842.45
  5. Step 5: Solve for x
    x = 138,016,842.45/9,809.24
  6. Step 6: Final answer
    x = 14,070.09

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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.