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Finding the Fourth Proportional to 9,188.40, 13,782.64 and 2,262.88

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Solution

The fourth proportional to 9,188.40, 13,782.64 and 2,262.88 is: 3,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.40 : 13,782.64 = 2,262.88 : x
  2. Step 2: Convert to fraction form
    9,188.40/13,782.64 = 2,262.88/x
  3. Step 3: Cross multiply
    9,188.40x = 13,782.64 × 2,262.88
  4. Step 4: Simplify right side
    9,188.40x = 31,188,460.40
  5. Step 5: Solve for x
    x = 31,188,460.40/9,188.40
  6. Step 6: Final answer
    x = 3,394.33

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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.