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Finding the Fourth Proportional to 9,298.85, 13,940.07 and 3,451.36

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Solution

The fourth proportional to 9,298.85, 13,940.07 and 3,451.36 is: 5,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.85 : 13,940.07 = 3,451.36 : x
  2. Step 2: Convert to fraction form
    9,298.85/13,940.07 = 3,451.36/x
  3. Step 3: Cross multiply
    9,298.85x = 13,940.07 × 3,451.36
  4. Step 4: Simplify right side
    9,298.85x = 48,112,207.46
  5. Step 5: Solve for x
    x = 48,112,207.46/9,298.85
  6. Step 6: Final answer
    x = 5,174.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.