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Finding the Fourth Proportional to 9,568.67, 14,339.64 and 4,637

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Solution

The fourth proportional to 9,568.67, 14,339.64 and 4,637 is: 6,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.67 : 14,339.64 = 4,637 : x
  2. Step 2: Convert to fraction form
    9,568.67/14,339.64 = 4,637/x
  3. Step 3: Cross multiply
    9,568.67x = 14,339.64 × 4,637
  4. Step 4: Simplify right side
    9,568.67x = 66,492,910.68
  5. Step 5: Solve for x
    x = 66,492,910.68/9,568.67
  6. Step 6: Final answer
    x = 6,949.02

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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.