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Finding the Fourth Proportional to 9,643.96, 14,456.22 and 4,100.92

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Solution

The fourth proportional to 9,643.96, 14,456.22 and 4,100.92 is: 6,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.96 : 14,456.22 = 4,100.92 : x
  2. Step 2: Convert to fraction form
    9,643.96/14,456.22 = 4,100.92/x
  3. Step 3: Cross multiply
    9,643.96x = 14,456.22 × 4,100.92
  4. Step 4: Simplify right side
    9,643.96x = 59,283,801.72
  5. Step 5: Solve for x
    x = 59,283,801.72/9,643.96
  6. Step 6: Final answer
    x = 6,147.25

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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.