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Finding the Fourth Proportional to 9,032.14, 13,550.88 and 3,838.42

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Solution

The fourth proportional to 9,032.14, 13,550.88 and 3,838.42 is: 5,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.14 : 13,550.88 = 3,838.42 : x
  2. Step 2: Convert to fraction form
    9,032.14/13,550.88 = 3,838.42/x
  3. Step 3: Cross multiply
    9,032.14x = 13,550.88 × 3,838.42
  4. Step 4: Simplify right side
    9,032.14x = 52,013,968.81
  5. Step 5: Solve for x
    x = 52,013,968.81/9,032.14
  6. Step 6: Final answer
    x = 5,758.76

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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.