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Finding the Fourth Proportional to 9,790.04, 14,699.64 and 3,958.04

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Solution

The fourth proportional to 9,790.04, 14,699.64 and 3,958.04 is: 5,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.04 : 14,699.64 = 3,958.04 : x
  2. Step 2: Convert to fraction form
    9,790.04/14,699.64 = 3,958.04/x
  3. Step 3: Cross multiply
    9,790.04x = 14,699.64 × 3,958.04
  4. Step 4: Simplify right side
    9,790.04x = 58,181,763.11
  5. Step 5: Solve for x
    x = 58,181,763.11/9,790.04
  6. Step 6: Final answer
    x = 5,942.95

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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.