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Finding the Fourth Proportional to 9,667.18, 14,490.72 and 5,498.20

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Solution

The fourth proportional to 9,667.18, 14,490.72 and 5,498.20 is: 8,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.18 : 14,490.72 = 5,498.20 : x
  2. Step 2: Convert to fraction form
    9,667.18/14,490.72 = 5,498.20/x
  3. Step 3: Cross multiply
    9,667.18x = 14,490.72 × 5,498.20
  4. Step 4: Simplify right side
    9,667.18x = 79,672,876.70
  5. Step 5: Solve for x
    x = 79,672,876.70/9,667.18
  6. Step 6: Final answer
    x = 8,241.58

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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.