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Finding the Fourth Proportional to 9,097.44, 13,650 and 3,833.76

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Solution

The fourth proportional to 9,097.44, 13,650 and 3,833.76 is: 5,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.44 : 13,650 = 3,833.76 : x
  2. Step 2: Convert to fraction form
    9,097.44/13,650 = 3,833.76/x
  3. Step 3: Cross multiply
    9,097.44x = 13,650 × 3,833.76
  4. Step 4: Simplify right side
    9,097.44x = 52,330,824
  5. Step 5: Solve for x
    x = 52,330,824/9,097.44
  6. Step 6: Final answer
    x = 5,752.26

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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.