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Finding the Fourth Proportional to 9,568.52, 14,352.76 and 2,643

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Solution

The fourth proportional to 9,568.52, 14,352.76 and 2,643 is: 3,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.52 : 14,352.76 = 2,643 : x
  2. Step 2: Convert to fraction form
    9,568.52/14,352.76 = 2,643/x
  3. Step 3: Cross multiply
    9,568.52x = 14,352.76 × 2,643
  4. Step 4: Simplify right side
    9,568.52x = 37,934,344.68
  5. Step 5: Solve for x
    x = 37,934,344.68/9,568.52
  6. Step 6: Final answer
    x = 3,964.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.