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Finding the Fourth Proportional to 9,281.24, 13,921.80 and 7,443.90

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Solution

The fourth proportional to 9,281.24, 13,921.80 and 7,443.90 is: 11,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.24 : 13,921.80 = 7,443.90 : x
  2. Step 2: Convert to fraction form
    9,281.24/13,921.80 = 7,443.90/x
  3. Step 3: Cross multiply
    9,281.24x = 13,921.80 × 7,443.90
  4. Step 4: Simplify right side
    9,281.24x = 103,632,487.02
  5. Step 5: Solve for x
    x = 103,632,487.02/9,281.24
  6. Step 6: Final answer
    x = 11,165.80

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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.