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Finding the Fourth Proportional to 9,270.45, 13,905.75 and 7,419.20

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Solution

The fourth proportional to 9,270.45, 13,905.75 and 7,419.20 is: 11,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.45 : 13,905.75 = 7,419.20 : x
  2. Step 2: Convert to fraction form
    9,270.45/13,905.75 = 7,419.20/x
  3. Step 3: Cross multiply
    9,270.45x = 13,905.75 × 7,419.20
  4. Step 4: Simplify right side
    9,270.45x = 103,169,470.87
  5. Step 5: Solve for x
    x = 103,169,470.87/9,270.45
  6. Step 6: Final answer
    x = 11,128.85

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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.