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Finding the Fourth Proportional to 9,152.89, 13,729.35 and 3,309.52

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Solution

The fourth proportional to 9,152.89, 13,729.35 and 3,309.52 is: 4,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.89 : 13,729.35 = 3,309.52 : x
  2. Step 2: Convert to fraction form
    9,152.89/13,729.35 = 3,309.52/x
  3. Step 3: Cross multiply
    9,152.89x = 13,729.35 × 3,309.52
  4. Step 4: Simplify right side
    9,152.89x = 45,437,558.41
  5. Step 5: Solve for x
    x = 45,437,558.41/9,152.89
  6. Step 6: Final answer
    x = 4,964.29

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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.