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Finding the Fourth Proportional to 9,220.48, 13,825.44 and 5,473.76

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Solution

The fourth proportional to 9,220.48, 13,825.44 and 5,473.76 is: 8,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.48 : 13,825.44 = 5,473.76 : x
  2. Step 2: Convert to fraction form
    9,220.48/13,825.44 = 5,473.76/x
  3. Step 3: Cross multiply
    9,220.48x = 13,825.44 × 5,473.76
  4. Step 4: Simplify right side
    9,220.48x = 75,677,140.45
  5. Step 5: Solve for x
    x = 75,677,140.45/9,220.48
  6. Step 6: Final answer
    x = 8,207.51

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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.