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Finding the Fourth Proportional to 9,102.36, 13,653.52 and 3,259.42

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Solution

The fourth proportional to 9,102.36, 13,653.52 and 3,259.42 is: 4,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.36 : 13,653.52 = 3,259.42 : x
  2. Step 2: Convert to fraction form
    9,102.36/13,653.52 = 3,259.42/x
  3. Step 3: Cross multiply
    9,102.36x = 13,653.52 × 3,259.42
  4. Step 4: Simplify right side
    9,102.36x = 44,502,556.16
  5. Step 5: Solve for x
    x = 44,502,556.16/9,102.36
  6. Step 6: Final answer
    x = 4,889.12

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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.