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Finding the Fourth Proportional to 9,729.65, 14,591.41 and 3,154.48

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Solution

The fourth proportional to 9,729.65, 14,591.41 and 3,154.48 is: 4,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.65 : 14,591.41 = 3,154.48 : x
  2. Step 2: Convert to fraction form
    9,729.65/14,591.41 = 3,154.48/x
  3. Step 3: Cross multiply
    9,729.65x = 14,591.41 × 3,154.48
  4. Step 4: Simplify right side
    9,729.65x = 46,028,266.65
  5. Step 5: Solve for x
    x = 46,028,266.65/9,729.65
  6. Step 6: Final answer
    x = 4,730.72

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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.