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Finding the Fourth Proportional to 9,963.65, 14,946.39 and 2,568.14

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Solution

The fourth proportional to 9,963.65, 14,946.39 and 2,568.14 is: 3,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.65 : 14,946.39 = 2,568.14 : x
  2. Step 2: Convert to fraction form
    9,963.65/14,946.39 = 2,568.14/x
  3. Step 3: Cross multiply
    9,963.65x = 14,946.39 × 2,568.14
  4. Step 4: Simplify right side
    9,963.65x = 38,384,422.01
  5. Step 5: Solve for x
    x = 38,384,422.01/9,963.65
  6. Step 6: Final answer
    x = 3,852.45

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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.