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Finding the Fourth Proportional to 9,189.65, 13,784.51 and 2,615.90

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Solution

The fourth proportional to 9,189.65, 13,784.51 and 2,615.90 is: 3,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.65 : 13,784.51 = 2,615.90 : x
  2. Step 2: Convert to fraction form
    9,189.65/13,784.51 = 2,615.90/x
  3. Step 3: Cross multiply
    9,189.65x = 13,784.51 × 2,615.90
  4. Step 4: Simplify right side
    9,189.65x = 36,058,837.33
  5. Step 5: Solve for x
    x = 36,058,837.33/9,189.65
  6. Step 6: Final answer
    x = 3,923.85

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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.