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Finding the Fourth Proportional to 9,032.96, 13,549.44 and 3,188.22

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Solution

The fourth proportional to 9,032.96, 13,549.44 and 3,188.22 is: 4,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.96 : 13,549.44 = 3,188.22 : x
  2. Step 2: Convert to fraction form
    9,032.96/13,549.44 = 3,188.22/x
  3. Step 3: Cross multiply
    9,032.96x = 13,549.44 × 3,188.22
  4. Step 4: Simplify right side
    9,032.96x = 43,198,595.60
  5. Step 5: Solve for x
    x = 43,198,595.60/9,032.96
  6. Step 6: Final answer
    x = 4,782.33

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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.