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Finding the Fourth Proportional to 9,259.56, 13,882.44 and 3,416.16

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Solution

The fourth proportional to 9,259.56, 13,882.44 and 3,416.16 is: 5,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.56 : 13,882.44 = 3,416.16 : x
  2. Step 2: Convert to fraction form
    9,259.56/13,882.44 = 3,416.16/x
  3. Step 3: Cross multiply
    9,259.56x = 13,882.44 × 3,416.16
  4. Step 4: Simplify right side
    9,259.56x = 47,424,636.23
  5. Step 5: Solve for x
    x = 47,424,636.23/9,259.56
  6. Step 6: Final answer
    x = 5,121.69

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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.