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Finding the Fourth Proportional to 9,645.62, 14,468.61 and 3,405.48

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Solution

The fourth proportional to 9,645.62, 14,468.61 and 3,405.48 is: 5,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.62 : 14,468.61 = 3,405.48 : x
  2. Step 2: Convert to fraction form
    9,645.62/14,468.61 = 3,405.48/x
  3. Step 3: Cross multiply
    9,645.62x = 14,468.61 × 3,405.48
  4. Step 4: Simplify right side
    9,645.62x = 49,272,544.96
  5. Step 5: Solve for x
    x = 49,272,544.96/9,645.62
  6. Step 6: Final answer
    x = 5,108.28

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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.