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Finding the Fourth Proportional to 9,806.44, 13,532.34 and 5,614.96

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Solution

The fourth proportional to 9,806.44, 13,532.34 and 5,614.96 is: 7,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.44 : 13,532.34 = 5,614.96 : x
  2. Step 2: Convert to fraction form
    9,806.44/13,532.34 = 5,614.96/x
  3. Step 3: Cross multiply
    9,806.44x = 13,532.34 × 5,614.96
  4. Step 4: Simplify right side
    9,806.44x = 75,983,547.81
  5. Step 5: Solve for x
    x = 75,983,547.81/9,806.44
  6. Step 6: Final answer
    x = 7,748.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.