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Finding the Fourth Proportional to 9,016.36, 13,525.01 and 2,780.65

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Solution

The fourth proportional to 9,016.36, 13,525.01 and 2,780.65 is: 4,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.36 : 13,525.01 = 2,780.65 : x
  2. Step 2: Convert to fraction form
    9,016.36/13,525.01 = 2,780.65/x
  3. Step 3: Cross multiply
    9,016.36x = 13,525.01 × 2,780.65
  4. Step 4: Simplify right side
    9,016.36x = 37,608,319.06
  5. Step 5: Solve for x
    x = 37,608,319.06/9,016.36
  6. Step 6: Final answer
    x = 4,171.12

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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.