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Finding the Fourth Proportional to 9,266.72, 13,909.84 and 9,057.76

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Solution

The fourth proportional to 9,266.72, 13,909.84 and 9,057.76 is: 13,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.72 : 13,909.84 = 9,057.76 : x
  2. Step 2: Convert to fraction form
    9,266.72/13,909.84 = 9,057.76/x
  3. Step 3: Cross multiply
    9,266.72x = 13,909.84 × 9,057.76
  4. Step 4: Simplify right side
    9,266.72x = 125,991,992.36
  5. Step 5: Solve for x
    x = 125,991,992.36/9,266.72
  6. Step 6: Final answer
    x = 13,596.18

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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.