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Finding the Fourth Proportional to 9,568.17, 14,338.89 and 4,636.50

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Solution

The fourth proportional to 9,568.17, 14,338.89 and 4,636.50 is: 6,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.17 : 14,338.89 = 4,636.50 : x
  2. Step 2: Convert to fraction form
    9,568.17/14,338.89 = 4,636.50/x
  3. Step 3: Cross multiply
    9,568.17x = 14,338.89 × 4,636.50
  4. Step 4: Simplify right side
    9,568.17x = 66,482,263.49
  5. Step 5: Solve for x
    x = 66,482,263.49/9,568.17
  6. Step 6: Final answer
    x = 6,948.27

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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.