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Finding the Fourth Proportional to 9,729.52, 14,596.84 and 3,490.16

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Solution

The fourth proportional to 9,729.52, 14,596.84 and 3,490.16 is: 5,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.52 : 14,596.84 = 3,490.16 : x
  2. Step 2: Convert to fraction form
    9,729.52/14,596.84 = 3,490.16/x
  3. Step 3: Cross multiply
    9,729.52x = 14,596.84 × 3,490.16
  4. Step 4: Simplify right side
    9,729.52x = 50,945,307.09
  5. Step 5: Solve for x
    x = 50,945,307.09/9,729.52
  6. Step 6: Final answer
    x = 5,236.16

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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.