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Finding the Fourth Proportional to 9,729.29, 14,596.07 and 3,156.14

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Solution

The fourth proportional to 9,729.29, 14,596.07 and 3,156.14 is: 4,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.29 : 14,596.07 = 3,156.14 : x
  2. Step 2: Convert to fraction form
    9,729.29/14,596.07 = 3,156.14/x
  3. Step 3: Cross multiply
    9,729.29x = 14,596.07 × 3,156.14
  4. Step 4: Simplify right side
    9,729.29x = 46,067,240.37
  5. Step 5: Solve for x
    x = 46,067,240.37/9,729.29
  6. Step 6: Final answer
    x = 4,734.90

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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.