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Finding the Fourth Proportional to 9,202.96, 13,808.22 and 4,823.56

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Solution

The fourth proportional to 9,202.96, 13,808.22 and 4,823.56 is: 7,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.96 : 13,808.22 = 4,823.56 : x
  2. Step 2: Convert to fraction form
    9,202.96/13,808.22 = 4,823.56/x
  3. Step 3: Cross multiply
    9,202.96x = 13,808.22 × 4,823.56
  4. Step 4: Simplify right side
    9,202.96x = 66,604,777.66
  5. Step 5: Solve for x
    x = 66,604,777.66/9,202.96
  6. Step 6: Final answer
    x = 7,237.32

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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.