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Finding the Fourth Proportional to 9,789.69, 14,656.53 and 9,168.96

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Solution

The fourth proportional to 9,789.69, 14,656.53 and 9,168.96 is: 13,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.69 : 14,656.53 = 9,168.96 : x
  2. Step 2: Convert to fraction form
    9,789.69/14,656.53 = 9,168.96/x
  3. Step 3: Cross multiply
    9,789.69x = 14,656.53 × 9,168.96
  4. Step 4: Simplify right side
    9,789.69x = 134,385,137.31
  5. Step 5: Solve for x
    x = 134,385,137.31/9,789.69
  6. Step 6: Final answer
    x = 13,727.21

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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.