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Finding the Fourth Proportional to 9,873.50, 14,813.69 and 4,942.01

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Solution

The fourth proportional to 9,873.50, 14,813.69 and 4,942.01 is: 7,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.50 : 14,813.69 = 4,942.01 : x
  2. Step 2: Convert to fraction form
    9,873.50/14,813.69 = 4,942.01/x
  3. Step 3: Cross multiply
    9,873.50x = 14,813.69 × 4,942.01
  4. Step 4: Simplify right side
    9,873.50x = 73,209,416.44
  5. Step 5: Solve for x
    x = 73,209,416.44/9,873.50
  6. Step 6: Final answer
    x = 7,414.74

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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.