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Finding the Fourth Proportional to 9,711.28, 14,571.78 and 4,775.14

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Solution

The fourth proportional to 9,711.28, 14,571.78 and 4,775.14 is: 7,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.28 : 14,571.78 = 4,775.14 : x
  2. Step 2: Convert to fraction form
    9,711.28/14,571.78 = 4,775.14/x
  3. Step 3: Cross multiply
    9,711.28x = 14,571.78 × 4,775.14
  4. Step 4: Simplify right side
    9,711.28x = 69,582,289.55
  5. Step 5: Solve for x
    x = 69,582,289.55/9,711.28
  6. Step 6: Final answer
    x = 7,165.10

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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.