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Finding the Fourth Proportional to 9,003.25, 13,506.47 and 3,078.75

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Solution

The fourth proportional to 9,003.25, 13,506.47 and 3,078.75 is: 4,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.25 : 13,506.47 = 3,078.75 : x
  2. Step 2: Convert to fraction form
    9,003.25/13,506.47 = 3,078.75/x
  3. Step 3: Cross multiply
    9,003.25x = 13,506.47 × 3,078.75
  4. Step 4: Simplify right side
    9,003.25x = 41,582,992.08
  5. Step 5: Solve for x
    x = 41,582,992.08/9,003.25
  6. Step 6: Final answer
    x = 4,618.66

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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.