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Finding the Fourth Proportional to 9,009.75, 13,514.69 and 2,853.75

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Solution

The fourth proportional to 9,009.75, 13,514.69 and 2,853.75 is: 4,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.75 : 13,514.69 = 2,853.75 : x
  2. Step 2: Convert to fraction form
    9,009.75/13,514.69 = 2,853.75/x
  3. Step 3: Cross multiply
    9,009.75x = 13,514.69 × 2,853.75
  4. Step 4: Simplify right side
    9,009.75x = 38,567,532.32
  5. Step 5: Solve for x
    x = 38,567,532.32/9,009.75
  6. Step 6: Final answer
    x = 4,280.64

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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.