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Finding the Fourth Proportional to 9,577.36, 14,365.64 and 2,651.68

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Solution

The fourth proportional to 9,577.36, 14,365.64 and 2,651.68 is: 3,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.36 : 14,365.64 = 2,651.68 : x
  2. Step 2: Convert to fraction form
    9,577.36/14,365.64 = 2,651.68/x
  3. Step 3: Cross multiply
    9,577.36x = 14,365.64 × 2,651.68
  4. Step 4: Simplify right side
    9,577.36x = 38,093,080.28
  5. Step 5: Solve for x
    x = 38,093,080.28/9,577.36
  6. Step 6: Final answer
    x = 3,977.41

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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.