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Finding the Fourth Proportional to 9,247.82, 13,871.80 and 3,701.64

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Solution

The fourth proportional to 9,247.82, 13,871.80 and 3,701.64 is: 5,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.82 : 13,871.80 = 3,701.64 : x
  2. Step 2: Convert to fraction form
    9,247.82/13,871.80 = 3,701.64/x
  3. Step 3: Cross multiply
    9,247.82x = 13,871.80 × 3,701.64
  4. Step 4: Simplify right side
    9,247.82x = 51,348,409.75
  5. Step 5: Solve for x
    x = 51,348,409.75/9,247.82
  6. Step 6: Final answer
    x = 5,552.49

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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.