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Finding the Fourth Proportional to 9,482.64, 14,217.87 and 3,939.81

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Solution

The fourth proportional to 9,482.64, 14,217.87 and 3,939.81 is: 5,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.64 : 14,217.87 = 3,939.81 : x
  2. Step 2: Convert to fraction form
    9,482.64/14,217.87 = 3,939.81/x
  3. Step 3: Cross multiply
    9,482.64x = 14,217.87 × 3,939.81
  4. Step 4: Simplify right side
    9,482.64x = 56,015,706.40
  5. Step 5: Solve for x
    x = 56,015,706.40/9,482.64
  6. Step 6: Final answer
    x = 5,907.18

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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.