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Finding the Fourth Proportional to 9,729.52, 14,597.34 and 3,485.27

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Solution

The fourth proportional to 9,729.52, 14,597.34 and 3,485.27 is: 5,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.52 : 14,597.34 = 3,485.27 : x
  2. Step 2: Convert to fraction form
    9,729.52/14,597.34 = 3,485.27/x
  3. Step 3: Cross multiply
    9,729.52x = 14,597.34 × 3,485.27
  4. Step 4: Simplify right side
    9,729.52x = 50,875,671.18
  5. Step 5: Solve for x
    x = 50,875,671.18/9,729.52
  6. Step 6: Final answer
    x = 5,229.00

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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.