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Finding the Fourth Proportional to 9,006.36, 13,509.54 and 3,812.28

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Solution

The fourth proportional to 9,006.36, 13,509.54 and 3,812.28 is: 5,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.36 : 13,509.54 = 3,812.28 : x
  2. Step 2: Convert to fraction form
    9,006.36/13,509.54 = 3,812.28/x
  3. Step 3: Cross multiply
    9,006.36x = 13,509.54 × 3,812.28
  4. Step 4: Simplify right side
    9,006.36x = 51,502,149.15
  5. Step 5: Solve for x
    x = 51,502,149.15/9,006.36
  6. Step 6: Final answer
    x = 5,718.42

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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.