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Finding the Fourth Proportional to 9,405.90, 14,108.97 and 6,483.42

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Solution

The fourth proportional to 9,405.90, 14,108.97 and 6,483.42 is: 9,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.90 : 14,108.97 = 6,483.42 : x
  2. Step 2: Convert to fraction form
    9,405.90/14,108.97 = 6,483.42/x
  3. Step 3: Cross multiply
    9,405.90x = 14,108.97 × 6,483.42
  4. Step 4: Simplify right side
    9,405.90x = 91,474,378.28
  5. Step 5: Solve for x
    x = 91,474,378.28/9,405.90
  6. Step 6: Final answer
    x = 9,725.21

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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.