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Finding the Fourth Proportional to 9,716.28, 14,561.76 and 7,056.78

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Solution

The fourth proportional to 9,716.28, 14,561.76 and 7,056.78 is: 10,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.28 : 14,561.76 = 7,056.78 : x
  2. Step 2: Convert to fraction form
    9,716.28/14,561.76 = 7,056.78/x
  3. Step 3: Cross multiply
    9,716.28x = 14,561.76 × 7,056.78
  4. Step 4: Simplify right side
    9,716.28x = 102,759,136.73
  5. Step 5: Solve for x
    x = 102,759,136.73/9,716.28
  6. Step 6: Final answer
    x = 10,575.98

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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.