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Finding the Fourth Proportional to 9,716.94, 14,577.48 and 3,873.24

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Solution

The fourth proportional to 9,716.94, 14,577.48 and 3,873.24 is: 5,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.94 : 14,577.48 = 3,873.24 : x
  2. Step 2: Convert to fraction form
    9,716.94/14,577.48 = 3,873.24/x
  3. Step 3: Cross multiply
    9,716.94x = 14,577.48 × 3,873.24
  4. Step 4: Simplify right side
    9,716.94x = 56,462,078.64
  5. Step 5: Solve for x
    x = 56,462,078.64/9,716.94
  6. Step 6: Final answer
    x = 5,810.69

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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.