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Finding the Fourth Proportional to 9,729.33, 14,597.06 and 3,485.09

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Solution

The fourth proportional to 9,729.33, 14,597.06 and 3,485.09 is: 5,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.33 : 14,597.06 = 3,485.09 : x
  2. Step 2: Convert to fraction form
    9,729.33/14,597.06 = 3,485.09/x
  3. Step 3: Cross multiply
    9,729.33x = 14,597.06 × 3,485.09
  4. Step 4: Simplify right side
    9,729.33x = 50,871,977.42
  5. Step 5: Solve for x
    x = 50,871,977.42/9,729.33
  6. Step 6: Final answer
    x = 5,228.72

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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.