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Finding the Fourth Proportional to 9,568.90, 14,354.18 and 2,643.40

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Solution

The fourth proportional to 9,568.90, 14,354.18 and 2,643.40 is: 3,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.90 : 14,354.18 = 2,643.40 : x
  2. Step 2: Convert to fraction form
    9,568.90/14,354.18 = 2,643.40/x
  3. Step 3: Cross multiply
    9,568.90x = 14,354.18 × 2,643.40
  4. Step 4: Simplify right side
    9,568.90x = 37,943,839.41
  5. Step 5: Solve for x
    x = 37,943,839.41/9,568.90
  6. Step 6: Final answer
    x = 3,965.33

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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.