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Finding the Fourth Proportional to 9,515.80, 14,273.70 and 7,442.20

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Solution

The fourth proportional to 9,515.80, 14,273.70 and 7,442.20 is: 11,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.80 : 14,273.70 = 7,442.20 : x
  2. Step 2: Convert to fraction form
    9,515.80/14,273.70 = 7,442.20/x
  3. Step 3: Cross multiply
    9,515.80x = 14,273.70 × 7,442.20
  4. Step 4: Simplify right side
    9,515.80x = 106,227,730.14
  5. Step 5: Solve for x
    x = 106,227,730.14/9,515.80
  6. Step 6: Final answer
    x = 11,163.30

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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.