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Finding the Fourth Proportional to 9,156.75, 13,728.65 and 6,524.25

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Solution

The fourth proportional to 9,156.75, 13,728.65 and 6,524.25 is: 9,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.75 : 13,728.65 = 6,524.25 : x
  2. Step 2: Convert to fraction form
    9,156.75/13,728.65 = 6,524.25/x
  3. Step 3: Cross multiply
    9,156.75x = 13,728.65 × 6,524.25
  4. Step 4: Simplify right side
    9,156.75x = 89,569,112.14
  5. Step 5: Solve for x
    x = 89,569,112.14/9,156.75
  6. Step 6: Final answer
    x = 9,781.76

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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.