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Finding the Fourth Proportional to 9,207.32, 13,808.24 and 3,283.16

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Solution

The fourth proportional to 9,207.32, 13,808.24 and 3,283.16 is: 4,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.32 : 13,808.24 = 3,283.16 : x
  2. Step 2: Convert to fraction form
    9,207.32/13,808.24 = 3,283.16/x
  3. Step 3: Cross multiply
    9,207.32x = 13,808.24 × 3,283.16
  4. Step 4: Simplify right side
    9,207.32x = 45,334,644.82
  5. Step 5: Solve for x
    x = 45,334,644.82/9,207.32
  6. Step 6: Final answer
    x = 4,923.76

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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.