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Finding the Fourth Proportional to 9,709.33, 14,559.39 and 3,382.00

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Solution

The fourth proportional to 9,709.33, 14,559.39 and 3,382.00 is: 5,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.33 : 14,559.39 = 3,382.00 : x
  2. Step 2: Convert to fraction form
    9,709.33/14,559.39 = 3,382.00/x
  3. Step 3: Cross multiply
    9,709.33x = 14,559.39 × 3,382.00
  4. Step 4: Simplify right side
    9,709.33x = 49,239,847.88
  5. Step 5: Solve for x
    x = 49,239,847.88/9,709.33
  6. Step 6: Final answer
    x = 5,071.40

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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.