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Finding the Fourth Proportional to 9,645.93, 14,469.75 and 3,801.15

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Solution

The fourth proportional to 9,645.93, 14,469.75 and 3,801.15 is: 5,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.93 : 14,469.75 = 3,801.15 : x
  2. Step 2: Convert to fraction form
    9,645.93/14,469.75 = 3,801.15/x
  3. Step 3: Cross multiply
    9,645.93x = 14,469.75 × 3,801.15
  4. Step 4: Simplify right side
    9,645.93x = 55,001,690.21
  5. Step 5: Solve for x
    x = 55,001,690.21/9,645.93
  6. Step 6: Final answer
    x = 5,702.06

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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.