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Finding the Fourth Proportional to 9,006.25, 13,509.44 and 2,850.25

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Solution

The fourth proportional to 9,006.25, 13,509.44 and 2,850.25 is: 4,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.25 : 13,509.44 = 2,850.25 : x
  2. Step 2: Convert to fraction form
    9,006.25/13,509.44 = 2,850.25/x
  3. Step 3: Cross multiply
    9,006.25x = 13,509.44 × 2,850.25
  4. Step 4: Simplify right side
    9,006.25x = 38,505,267.11
  5. Step 5: Solve for x
    x = 38,505,267.11/9,006.25
  6. Step 6: Final answer
    x = 4,275.39

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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.