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Finding the Fourth Proportional to 9,636.93, 14,447.43 and 4,296.24

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Solution

The fourth proportional to 9,636.93, 14,447.43 and 4,296.24 is: 6,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.93 : 14,447.43 = 4,296.24 : x
  2. Step 2: Convert to fraction form
    9,636.93/14,447.43 = 4,296.24/x
  3. Step 3: Cross multiply
    9,636.93x = 14,447.43 × 4,296.24
  4. Step 4: Simplify right side
    9,636.93x = 62,069,626.66
  5. Step 5: Solve for x
    x = 62,069,626.66/9,636.93
  6. Step 6: Final answer
    x = 6,440.81

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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.