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Finding the Fourth Proportional to 9,493.84, 14,240.94 and 2,568.16

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Solution

The fourth proportional to 9,493.84, 14,240.94 and 2,568.16 is: 3,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.84 : 14,240.94 = 2,568.16 : x
  2. Step 2: Convert to fraction form
    9,493.84/14,240.94 = 2,568.16/x
  3. Step 3: Cross multiply
    9,493.84x = 14,240.94 × 2,568.16
  4. Step 4: Simplify right side
    9,493.84x = 36,573,012.47
  5. Step 5: Solve for x
    x = 36,573,012.47/9,493.84
  6. Step 6: Final answer
    x = 3,852.29

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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.