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Finding the Fourth Proportional to 9,220.28, 12,711.09 and 7,798.24

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Solution

The fourth proportional to 9,220.28, 12,711.09 and 7,798.24 is: 10,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.28 : 12,711.09 = 7,798.24 : x
  2. Step 2: Convert to fraction form
    9,220.28/12,711.09 = 7,798.24/x
  3. Step 3: Cross multiply
    9,220.28x = 12,711.09 × 7,798.24
  4. Step 4: Simplify right side
    9,220.28x = 99,124,175.61
  5. Step 5: Solve for x
    x = 99,124,175.61/9,220.28
  6. Step 6: Final answer
    x = 10,750.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.