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Finding the Fourth Proportional to 9,454.03, 14,179.68 and 3,214.26

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Solution

The fourth proportional to 9,454.03, 14,179.68 and 3,214.26 is: 4,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.03 : 14,179.68 = 3,214.26 : x
  2. Step 2: Convert to fraction form
    9,454.03/14,179.68 = 3,214.26/x
  3. Step 3: Cross multiply
    9,454.03x = 14,179.68 × 3,214.26
  4. Step 4: Simplify right side
    9,454.03x = 45,577,178.24
  5. Step 5: Solve for x
    x = 45,577,178.24/9,454.03
  6. Step 6: Final answer
    x = 4,820.93

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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.