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Finding the Fourth Proportional to 9,207.16, 13,803.78 and 3,282.82

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Solution

The fourth proportional to 9,207.16, 13,803.78 and 3,282.82 is: 4,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.16 : 13,803.78 = 3,282.82 : x
  2. Step 2: Convert to fraction form
    9,207.16/13,803.78 = 3,282.82/x
  3. Step 3: Cross multiply
    9,207.16x = 13,803.78 × 3,282.82
  4. Step 4: Simplify right side
    9,207.16x = 45,315,325.06
  5. Step 5: Solve for x
    x = 45,315,325.06/9,207.16
  6. Step 6: Final answer
    x = 4,921.75

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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.