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Finding the Fourth Proportional to 9,568.16, 14,351.40 and 2,642

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Solution

The fourth proportional to 9,568.16, 14,351.40 and 2,642 is: 3,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.16 : 14,351.40 = 2,642 : x
  2. Step 2: Convert to fraction form
    9,568.16/14,351.40 = 2,642/x
  3. Step 3: Cross multiply
    9,568.16x = 14,351.40 × 2,642
  4. Step 4: Simplify right side
    9,568.16x = 37,916,398.80
  5. Step 5: Solve for x
    x = 37,916,398.80/9,568.16
  6. Step 6: Final answer
    x = 3,962.77

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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.