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Finding the Fourth Proportional to 9,793.43, 14,675.56 and 5,412.14

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Solution

The fourth proportional to 9,793.43, 14,675.56 and 5,412.14 is: 8,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.43 : 14,675.56 = 5,412.14 : x
  2. Step 2: Convert to fraction form
    9,793.43/14,675.56 = 5,412.14/x
  3. Step 3: Cross multiply
    9,793.43x = 14,675.56 × 5,412.14
  4. Step 4: Simplify right side
    9,793.43x = 79,426,185.30
  5. Step 5: Solve for x
    x = 79,426,185.30/9,793.43
  6. Step 6: Final answer
    x = 8,110.15

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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.