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Finding the Fourth Proportional to 9,884.50, 14,830.19 and 4,953.04

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Solution

The fourth proportional to 9,884.50, 14,830.19 and 4,953.04 is: 7,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.50 : 14,830.19 = 4,953.04 : x
  2. Step 2: Convert to fraction form
    9,884.50/14,830.19 = 4,953.04/x
  3. Step 3: Cross multiply
    9,884.50x = 14,830.19 × 4,953.04
  4. Step 4: Simplify right side
    9,884.50x = 73,454,524.28
  5. Step 5: Solve for x
    x = 73,454,524.28/9,884.50
  6. Step 6: Final answer
    x = 7,431.28

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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.