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Finding the Fourth Proportional to 9,405.97, 14,090.64 and 4,468.81

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Solution

The fourth proportional to 9,405.97, 14,090.64 and 4,468.81 is: 6,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.97 : 14,090.64 = 4,468.81 : x
  2. Step 2: Convert to fraction form
    9,405.97/14,090.64 = 4,468.81/x
  3. Step 3: Cross multiply
    9,405.97x = 14,090.64 × 4,468.81
  4. Step 4: Simplify right side
    9,405.97x = 62,968,392.94
  5. Step 5: Solve for x
    x = 62,968,392.94/9,405.97
  6. Step 6: Final answer
    x = 6,694.51

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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.